7640169264 has 320 divisors, whose sum is σ = 27253811200. Its totient is φ = 1995383808.

The previous prime is 7640169253. The next prime is 7640169281. The reversal of 7640169264 is 4629610467.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4284117 + ... + 4285899.

It is an arithmetic number, because the mean of its divisors is an integer number (85168160).

Almost surely, 2^7640169264 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 7640169264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13626905600).

7640169264 is an abundant number, since it is smaller than the sum of its proper divisors (19613641936).

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

7640169264 is a wasteful number, since it uses less digits than its factorization.

7640169264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 7640169264 is about 87408.0617792203. The cubic root of 7640169264 is about 1969.5529458744.

The spelling of 7640169264 in words is "seven billion, six hundred forty million, one hundred sixty-nine thousand, two hundred sixty-four".