7674315264 has 480 divisors, whose sum is σ = 28312187904. Its totient is φ = 1943101440.

The previous prime is 7674315247. The next prime is 7674315281. The reversal of 7674315264 is 4625134767.

7674315264 is a `hidden beast` number, since 7 + 6 + 74 + 315 + 264 = 666.

It is an interprime number because it is at equal distance from previous prime (7674315247) and next prime (7674315281).

It is a super-2 number, since 2×7674315264² (a number of 21 digits) contains 22 as substring.

Its product of digits (846720) is a multiple of the sum of its prime factors (588).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15256837 + ... + 15257339.

Almost surely, 2^7674315264 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 7674315264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14156093952).

7674315264 is an abundant number, since it is smaller than the sum of its proper divisors (20637872640).

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

7674315264 is a wasteful number, since it uses less digits than its factorization.

7674315264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 569 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 7674315264 is about 87603.1692577386. The cubic root of 7674315264 is about 1972.4827419252.

The spelling of 7674315264 in words is "seven billion, six hundred seventy-four million, three hundred fifteen thousand, two hundred sixty-four".