7639712640 has 640 divisors, whose sum is σ = 32079326400. Its totient is φ = 1696038912.

The previous prime is 7639712621. The next prime is 7639712653. The reversal of 7639712640 is 462179367.

7639712640 is a `hidden beast` number, since 7 + 639 + 7 + 1 + 2 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 79 ways as a sum of consecutive naturals, for example, 13426276 + ... + 13426844.

Almost surely, 2^7639712640 is an apocalyptic number.

7639712640 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 7639712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16039663200).

7639712640 is an abundant number, since it is smaller than the sum of its proper divisors (24439613760).

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

7639712640 is a wasteful number, since it uses less digits than its factorization.

7639712640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 7639712640 is about 87405.4497156785. The cubic root of 7639712640 is about 1969.5137075177.

The spelling of 7639712640 in words is "seven billion, six hundred thirty-nine million, seven hundred twelve thousand, six hundred forty".