7634643764328 has 192 divisors, whose sum is σ = 24512014800000. Its totient is φ = 2180814907392.

The previous prime is 7634643764311. The next prime is 7634643764353. The reversal of 7634643764328 is 8234673464367.

7634643764328 is a `hidden beast` number, since 7 + 63 + 464 + 3 + 76 + 43 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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, 59934048 + ... + 60061296.

It is an arithmetic number, because the mean of its divisors is an integer number (127666743750).

Almost surely, 2^{7634643764328} 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 7634643764328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12256007400000).

7634643764328 is an abundant number, since it is smaller than the sum of its proper divisors (16877371035672).

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

7634643764328 is a wasteful number, since it uses less digits than its factorization.

7634643764328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131686 (or 131670 counting only the distinct ones).

The product of its digits is 292626432, while the sum is 63.

The spelling of 7634643764328 in words is "seven trillion, six hundred thirty-four billion, six hundred forty-three million, seven hundred sixty-four thousand, three hundred twenty-eight".