7675892640 has 384 divisors, whose sum is σ = 29872281600. Its totient is φ = 1828085760.

The previous prime is 7675892629. The next prime is 7675892659. The reversal of 7675892640 is 462985767.

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

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, 1738756 + ... + 1743164.

It is an arithmetic number, because the mean of its divisors is an integer number (77792400).

Almost surely, 2^7675892640 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 7675892640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14936140800).

7675892640 is an abundant number, since it is smaller than the sum of its proper divisors (22196388960).

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

7675892640 is a wasteful number, since it uses less digits than its factorization.

7675892640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4477 (or 4463 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 7675892640 is about 87612.1717571252. The cubic root of 7675892640 is about 1972.6178737985.

The spelling of 7675892640 in words is "seven billion, six hundred seventy-five million, eight hundred ninety-two thousand, six hundred forty".