4742955360 has 576 divisors, whose sum is σ = 19654742016. Its totient is φ = 1025740800.

The previous prime is 4742955331. The next prime is 4742955367. The reversal of 4742955360 is 635592474.

4742955360 is a `hidden beast` number, since 4 + 74 + 29 + 553 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4742955367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6383149 + ... + 6383891.

It is an arithmetic number, because the mean of its divisors is an integer number (34122816).

Almost surely, 2^4742955360 is an apocalyptic number.

4742955360 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 4742955360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9827371008).

4742955360 is an abundant number, since it is smaller than the sum of its proper divisors (14911786656).

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

4742955360 is a wasteful number, since it uses less digits than its factorization.

4742955360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 4742955360 is about 68869.1176072411. The cubic root of 4742955360 is about 1680.1562779792.

The spelling of 4742955360 in words is "four billion, seven hundred forty-two million, nine hundred fifty-five thousand, three hundred sixty".