7413468800 has 96 divisors (see below), whose sum is σ = 19390996620. Its totient is φ = 2790932480.

The previous prime is 7413468787. The next prime is 7413468809. The reversal of 7413468800 is 88643147.

It can be written as a sum of positive squares in 6 ways, for example, as 4896640576 + 2516828224 = 69976^2 + 50168^2 .

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (7413468809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13739 + ... + 122538.

Almost surely, 2^7413468800 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 7413468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9695498310).

7413468800 is an abundant number, since it is smaller than the sum of its proper divisors (11977527820).

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

7413468800 is a wasteful number, since it uses less digits than its factorization.

7413468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136318 (or 136301 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 7413468800 is about 86101.5028904839. The cubic root of 7413468800 is about 1949.8767224280.

The spelling of 7413468800 in words is "seven billion, four hundred thirteen million, four hundred sixty-eight thousand, eight hundred".