7465972800 has 672 divisors, whose sum is σ = 29366870400. Its totient is φ = 1636761600.

The previous prime is 7465972781. The next prime is 7465972847. The reversal of 7465972800 is 82795647.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7465972800.

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 95 ways as a sum of consecutive naturals, for example, 50107126 + ... + 50107274.

It is an arithmetic number, because the mean of its divisors is an integer number (43700700).

Almost surely, 2^7465972800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7465972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14683435200).

7465972800 is an abundant number, since it is smaller than the sum of its proper divisors (21900897600).

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

7465972800 is a wasteful number, since it uses less digits than its factorization.

7465972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 7465972800 is about 86405.8609123247. The cubic root of 7465972800 is about 1954.4690660806.

The spelling of 7465972800 in words is "seven billion, four hundred sixty-five million, nine hundred seventy-two thousand, eight hundred".