7532816486400 has 2184 divisors, whose sum is σ = 30373501864320. Its totient is φ = 1846054748160.

The previous prime is 7532816486347. The next prime is 7532816486411. The reversal of 7532816486400 is 46846182357.

It is a happy number.

7532816486400 is a `hidden beast` number, since 7 + 53 + 28 + 164 + 8 + 6 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 66662092744 + ... + 66662092856.

Almost surely, 2^{7532816486400} 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 7532816486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15186750932160).

7532816486400 is an abundant number, since it is smaller than the sum of its proper divisors (22840685377920).

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

7532816486400 is a wasteful number, since it uses less digits than its factorization.

7532816486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 7532816486400 in words is "seven trillion, five hundred thirty-two billion, eight hundred sixteen million, four hundred eighty-six thousand, four hundred".