7468256400 has 480 divisors, whose sum is σ = 28854724608. Its totient is φ = 1628774400.

The previous prime is 7468256387. The next prime is 7468256401. The reversal of 7468256400 is 46528647.

It is a super-2 number, since 2×7468256400² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7468256401) 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, 5160477 + ... + 5161923.

Almost surely, 2^7468256400 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 7468256400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14427362304).

7468256400 is an abundant number, since it is smaller than the sum of its proper divisors (21386468208).

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

7468256400 is a wasteful number, since it uses less digits than its factorization.

7468256400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 7468256400 is about 86419.0742834011. The cubic root of 7468256400 is about 1954.6683154262.

The spelling of 7468256400 in words is "seven billion, four hundred sixty-eight million, two hundred fifty-six thousand, four hundred".