7651167264 has 144 divisors (see below), whose sum is σ = 23510620224. Its totient is φ = 2346278400.

The previous prime is 7651167263. The next prime is 7651167287. The reversal of 7651167264 is 4627611567.

7651167264 is a `hidden beast` number, since 7 + 6 + 511 + 6 + 72 + 64 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (7651167263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1161099 + ... + 1167669.

It is an arithmetic number, because the mean of its divisors is an integer number (163268196).

Almost surely, 2^7651167264 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 7651167264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11755310112).

7651167264 is an abundant number, since it is smaller than the sum of its proper divisors (15859452960).

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

7651167264 is a wasteful number, since it uses less digits than its factorization.

7651167264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6911 (or 6900 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 7651167264 is about 87470.9509723085. The cubic root of 7651167264 is about 1970.4975478912.

The spelling of 7651167264 in words is "seven billion, six hundred fifty-one million, one hundred sixty-seven thousand, two hundred sixty-four".