90964646640 has 540 divisors, whose sum is σ = 367335509112. Its totient is φ = 20113712640.

The previous prime is 90964646629. The next prime is 90964646659. The reversal of 90964646640 is 4664646909.

90964646640 is a `hidden beast` number, since 90 + 96 + 4 + 6 + 466 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 33902739 + ... + 33905421.

Almost surely, 2^90964646640 is an apocalyptic number.

90964646640 is a gapful number since it is divisible by the number (90) 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 90964646640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183667754556).

90964646640 is an abundant number, since it is smaller than the sum of its proper divisors (276370862472).

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

90964646640 is a wasteful number, since it uses less digits than its factorization.

90964646640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778 (or 2731 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 90964646640 in words is "ninety billion, nine hundred sixty-four million, six hundred forty-six thousand, six hundred forty".