7640594640 has 480 divisors, whose sum is σ = 31320257280. Its totient is φ = 1630347264.

The previous prime is 7640594603. The next prime is 7640594657. The reversal of 7640594640 is 464950467.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6989934 + ... + 6991026.

It is an arithmetic number, because the mean of its divisors is an integer number (65250536).

Almost surely, 2^7640594640 is an apocalyptic number.

7640594640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7640594640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15660128640).

7640594640 is an abundant number, since it is smaller than the sum of its proper divisors (23679662640).

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

7640594640 is a wasteful number, since it uses less digits than its factorization.

7640594640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 7640594640 is about 87410.4950220510. The cubic root of 7640594640 is about 1969.5894976390.

The spelling of 7640594640 in words is "seven billion, six hundred forty million, five hundred ninety-four thousand, six hundred forty".