4947148800 has 576 divisors, whose sum is σ = 19649490120. Its totient is φ = 1179648000.

The previous prime is 4947148799. The next prime is 4947148819. The reversal of 4947148800 is 88417494.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×4947148800³ (a number of 30 digits) contains 333 as substring.

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

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 81100770 + ... + 81100830.

Almost surely, 2^4947148800 is an apocalyptic number.

4947148800 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 4947148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9824745060).

4947148800 is an abundant number, since it is smaller than the sum of its proper divisors (14702341320).

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

4947148800 is a wasteful number, since it uses less digits than its factorization.

4947148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 4947148800 is about 70335.9708826145. The cubic root of 4947148800 is about 1703.9296406841.

The spelling of 4947148800 in words is "four billion, nine hundred forty-seven million, one hundred forty-eight thousand, eight hundred".