7492406400 has 288 divisors, whose sum is σ = 27899464320. Its totient is φ = 1910937600.

The previous prime is 7492406381. The next prime is 7492406417. The reversal of 7492406400 is 46042947.

7492406400 is a `hidden beast` number, since 7 + 4 + 9 + 2 + 4 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×7492406400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 656745 + ... + 668055.

It is an arithmetic number, because the mean of its divisors is an integer number (96873140).

Almost surely, 2^7492406400 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 7492406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13949732160).

7492406400 is an abundant number, since it is smaller than the sum of its proper divisors (20407057920).

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

7492406400 is a wasteful number, since it uses less digits than its factorization.

7492406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11364 (or 11344 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 7492406400 is about 86558.6876055778. The cubic root of 7492406400 is about 1956.7729766389.

The spelling of 7492406400 in words is "seven billion, four hundred ninety-two million, four hundred six thousand, four hundred".