951653664 has 192 divisors, whose sum is σ = 3011500800. Its totient is φ = 290635776.

The previous prime is 951653663. The next prime is 951653669. The reversal of 951653664 is 466356159.

951653664 is a `hidden beast` number, since 9 + 51 + 6 + 536 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (951653663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2167557 + ... + 2167995.

It is an arithmetic number, because the mean of its divisors is an integer number (15684900).

Almost surely, 2^951653664 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 951653664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505750400).

951653664 is an abundant number, since it is smaller than the sum of its proper divisors (2059847136).

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

951653664 is a wasteful number, since it uses less digits than its factorization.

951653664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 650 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 951653664 is about 30848.8843234241. The cubic root of 951653664 is about 983.6176384732.

The spelling of 951653664 in words is "nine hundred fifty-one million, six hundred fifty-three thousand, six hundred sixty-four".