7635640320 has 672 divisors, whose sum is σ = 33122494080. Its totient is φ = 1580728320.

The previous prime is 7635640283. The next prime is 7635640379. The reversal of 7635640320 is 230465367.

7635640320 is a `hidden beast` number, since 7 + 6 + 3 + 5 + 640 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28385146 + ... + 28385414.

Almost surely, 2^7635640320 is an apocalyptic number.

7635640320 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 7635640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16561247040).

7635640320 is an abundant number, since it is smaller than the sum of its proper divisors (25486853760).

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

7635640320 is a wasteful number, since it uses less digits than its factorization.

7635640320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 7635640320 is about 87382.1510378407. The cubic root of 7635640320 is about 1969.1636980361.

The spelling of 7635640320 in words is "seven billion, six hundred thirty-five million, six hundred forty thousand, three hundred twenty".