7660372824 has 336 divisors, whose sum is σ = 24370577280. Its totient is φ = 2242753920.

The previous prime is 7660372751. The next prime is 7660372829. The reversal of 7660372824 is 4282730667.

It is a self number, because there is not a number n which added to its sum of digits gives 7660372824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7660372829) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 40106569 + ... + 40106759.

It is an arithmetic number, because the mean of its divisors is an integer number (72531480).

Almost surely, 2^7660372824 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 7660372824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12185288640).

7660372824 is an abundant number, since it is smaller than the sum of its proper divisors (16710204456).

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

7660372824 is a wasteful number, since it uses less digits than its factorization.

7660372824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 7660372824 is about 87523.5558235610. Note that the first 3 decimals coincide. The cubic root of 7660372824 is about 1971.2875041918.

It can be divided in two parts, 76 and 60372824, that added together give a square (60372900 = 7770²).

The spelling of 7660372824 in words is "seven billion, six hundred sixty million, three hundred seventy-two thousand, eight hundred twenty-four".