7724916864 has 320 divisors, whose sum is σ = 26475071040. Its totient is φ = 2190219264.

The previous prime is 7724916833. The next prime is 7724916883. The reversal of 7724916864 is 4686194277.

7724916864 is a `hidden beast` number, since 7 + 72 + 491 + 6 + 86 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 7724916864.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11829562 + ... + 11830214.

It is an arithmetic number, because the mean of its divisors is an integer number (82734597).

Almost surely, 2^7724916864 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 7724916864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13237535520).

7724916864 is an abundant number, since it is smaller than the sum of its proper divisors (18750154176).

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

7724916864 is a wasteful number, since it uses less digits than its factorization.

7724916864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 828 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 7724916864 is about 87891.5062107824. The cubic root of 7724916864 is about 1976.8085224693.

The spelling of 7724916864 in words is "seven billion, seven hundred twenty-four million, nine hundred sixteen thousand, eight hundred sixty-four".