4942697760 has 1152 divisors, whose sum is σ = 23670226944. Its totient is φ = 940584960.

The previous prime is 4942697741. The next prime is 4942697777. The reversal of 4942697760 is 677962494.

It is a happy number.

4942697760 is a `hidden beast` number, since 494 + 2 + 6 + 97 + 7 + 60 = 666.

It is a super-2 number, since 2×4942697760² = 48860522293418035200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4942697697 and 4942697706.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38918817 + ... + 38918943.

It is an arithmetic number, because the mean of its divisors is an integer number (20547072).

Almost surely, 2^4942697760 is an apocalyptic number.

4942697760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4942697760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11835113472).

4942697760 is an abundant number, since it is smaller than the sum of its proper divisors (18727529184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4942697760 is a wasteful number, since it uses less digits than its factorization.

4942697760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 4942697760 is about 70304.3224844675. The cubic root of 4942697760 is about 1703.4184684919.

The spelling of 4942697760 in words is "four billion, nine hundred forty-two million, six hundred ninety-seven thousand, seven hundred sixty".