7660379520 has 512 divisors, whose sum is σ = 29148336000. Its totient is φ = 1894514688.

The previous prime is 7660379477. The next prime is 7660379521. The reversal of 7660379520 is 259730667.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7660379521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26144494 + ... + 26144786.

Almost surely, 2^7660379520 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 7660379520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14574168000).

7660379520 is an abundant number, since it is smaller than the sum of its proper divisors (21487956480).

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

7660379520 is a wasteful number, since it uses less digits than its factorization.

7660379520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 7660379520 is about 87523.5940761118. The cubic root of 7660379520 is about 1971.2880785649.

The spelling of 7660379520 in words is "seven billion, six hundred sixty million, three hundred seventy-nine thousand, five hundred twenty".