7634531664 has 320 divisors, whose sum is σ = 23954022400. Its totient is φ = 2320109568.

The previous prime is 7634531629. The next prime is 7634531699. The reversal of 7634531664 is 4661354367.

7634531664 is a `hidden beast` number, since 7 + 634 + 5 + 3 + 1 + 6 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (7634531629) and next prime (7634531699).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34235457 + ... + 34235679.

It is an arithmetic number, because the mean of its divisors is an integer number (74856320).

Almost surely, 2^7634531664 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 7634531664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11977011200).

7634531664 is an abundant number, since it is smaller than the sum of its proper divisors (16319490736).

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

7634531664 is a wasteful number, since it uses less digits than its factorization.

7634531664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 387 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 7634531664 is about 87375.8070864012. The cubic root of 7634531664 is about 1969.0683892506.

The spelling of 7634531664 in words is "seven billion, six hundred thirty-four million, five hundred thirty-one thousand, six hundred sixty-four".