7664002640 has 80 divisors (see below), whose sum is σ = 21436187520. Its totient is φ = 2489356800.

The previous prime is 7664002631. The next prime is 7664002663. The reversal of 7664002640 is 462004667.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 7664002640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349511 + ... + 370790.

It is an arithmetic number, because the mean of its divisors is an integer number (267952344).

Almost surely, 2^7664002640 is an apocalyptic number.

7664002640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7664002640 is an abundant number, since it is smaller than the sum of its proper divisors (13772184880).

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

7664002640 is a wasteful number, since it uses less digits than its factorization.

7664002640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720340 (or 720334 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 7664002640 is about 87544.2895910407. The cubic root of 7664002640 is about 1971.5988154558.

The spelling of 7664002640 in words is "seven billion, six hundred sixty-four million, two thousand, six hundred forty".