7452796800 has 384 divisors, whose sum is σ = 25741209600. Its totient is φ = 1892966400.

The previous prime is 7452796733. The next prime is 7452796801. The reversal of 7452796800 is 86972547.

It is a tau number, because it is divible by the number of its divisors (384).

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 7452796800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7452796801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23510242 + ... + 23510558.

It is an arithmetic number, because the mean of its divisors is an integer number (67034400).

Almost surely, 2^7452796800 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 7452796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12870604800).

7452796800 is an abundant number, since it is smaller than the sum of its proper divisors (18288412800).

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

7452796800 is a wasteful number, since it uses less digits than its factorization.

7452796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 437 counting only the distinct ones).

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

The square root of 7452796800 is about 86329.5824152996. The cubic root of 7452796800 is about 1953.3186355818.

The spelling of 7452796800 in words is "seven billion, four hundred fifty-two million, seven hundred ninety-six thousand, eight hundred".