7635676320 has 144 divisors (see below), whose sum is σ = 26217408672. Its totient is φ = 2023626240.

The previous prime is 7635676291. The next prime is 7635676331. The reversal of 7635676320 is 236765367.

7635676320 is a `hidden beast` number, since 7 + 6 + 3 + 5 + 6 + 7 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218455 + ... + 250985.

It is an arithmetic number, because the mean of its divisors is an integer number (182065338).

Almost surely, 2^7635676320 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 7635676320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13108704336).

7635676320 is an abundant number, since it is smaller than the sum of its proper divisors (18581732352).

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

7635676320 is a wasteful number, since it uses less digits than its factorization.

7635676320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32715 (or 32704 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The square root of 7635676320 is about 87382.3570293226. The cubic root of 7635676320 is about 1969.1667927245.

The spelling of 7635676320 in words is "seven billion, six hundred thirty-five million, six hundred seventy-six thousand, three hundred twenty".