95083967664 has 360 divisors, whose sum is σ = 322183160208. Its totient is φ = 27067944960.

The previous prime is 95083967663. The next prime is 95083967677. The reversal of 95083967664 is 46676938059.

95083967664 is a `hidden beast` number, since 9 + 508 + 3 + 9 + 67 + 6 + 64 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (95083967663) 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, 64201804 + ... + 64203284.

Almost surely, 2^95083967664 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 95083967664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161091580104).

95083967664 is an abundant number, since it is smaller than the sum of its proper divisors (227099192544).

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

95083967664 is a wasteful number, since it uses less digits than its factorization.

95083967664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1855 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 95083967664 in words is "ninety-five billion, eighty-three million, nine hundred sixty-seven thousand, six hundred sixty-four".