4797542400 has 624 divisors, whose sum is σ = 19111110144. Its totient is φ = 1038090240.

The previous prime is 4797542383. The next prime is 4797542411. The reversal of 4797542400 is 42457974.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49459152 + ... + 49459248.

Almost surely, 2^4797542400 is an apocalyptic number.

4797542400 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 4797542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9555555072).

4797542400 is an abundant number, since it is smaller than the sum of its proper divisors (14313567744).

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

4797542400 is a wasteful number, since it uses less digits than its factorization.

4797542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 4797542400 is about 69264.2938316706. The cubic root of 4797542400 is about 1686.5773897729.

The spelling of 4797542400 in words is "four billion, seven hundred ninety-seven million, five hundred forty-two thousand, four hundred".