64158456960 has 576 divisors, whose sum is σ = 254077485480. Its totient is φ = 14860025856.

The previous prime is 64158456949. The next prime is 64158456961. The reversal of 64158456960 is 6965485146.

64158456960 is a `hidden beast` number, since 6 + 4 + 1 + 584 + 56 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 157552704 + 64000904256 = 12552^2 + 252984^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 64158456897 and 64158456906.

It is not an unprimeable number, because it can be changed into a prime (64158456961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16546542 + ... + 16550418.

Almost surely, 2^64158456960 is an apocalyptic number.

64158456960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64158456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127038742740).

64158456960 is an abundant number, since it is smaller than the sum of its proper divisors (189919028520).

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

64158456960 is a wasteful number, since it uses less digits than its factorization.

64158456960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3945 (or 3917 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 64158456960 in words is "sixty-four billion, one hundred fifty-eight million, four hundred fifty-six thousand, nine hundred sixty".