7474865360400 has 945 divisors, whose sum is σ = 27707641264407. Its totient is φ = 1936998489600.

The previous prime is 7474865360293. The next prime is 7474865360419. The reversal of 7474865360400 is 40635684747.

The square root of 7474865360400 is 2734020.

It is a perfect power (a square), and thus also a powerful number.

7474865360400 is a `hidden beast` number, since 7 + 474 + 86 + 53 + 6 + 0 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3443058380304 + 4031806980096 = 1855548^2 + 2007936^2 .

It is a super-2 number, since 2×7474865360400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 90058618759 + ... + 90058618841.

Almost surely, 2^{7474865360400} is an apocalyptic number.

7474865360400 is the 2734020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7474865360400

7474865360400 is an abundant number, since it is smaller than the sum of its proper divisors (20232775904007).

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

7474865360400 is an frugal number, since it uses more digits than its factorization.

7474865360400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 7474865360400 in words is "seven trillion, four hundred seventy-four billion, eight hundred sixty-five million, three hundred sixty thousand, four hundred".