7660052582400 has 975 divisors, whose sum is σ = 29320487668505. Its totient is φ = 1976787763200.

The previous prime is 7660052582381. The next prime is 7660052582489. The reversal of 7660052582400 is 42852500667.

The square root of 7660052582400 is 2767680.

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

7660052582400 is a `hidden beast` number, since 7 + 6 + 6 + 0 + 0 + 525 + 82 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2757618929664 + 4902433652736 = 1660608^2 + 2214144^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 247098470385 + ... + 247098470415.

Almost surely, 2^{7660052582400} is an apocalyptic number.

7660052582400 is the 2767680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7660052582400

7660052582400 is an abundant number, since it is smaller than the sum of its proper divisors (21660435086105).

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

7660052582400 is an frugal number, since it uses more digits than its factorization.

7660052582400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 7660052582400 in words is "seven trillion, six hundred sixty billion, fifty-two million, five hundred eighty-two thousand, four hundred".