5964640488576 has 1792 divisors, whose sum is σ = 23357476454400. Its totient is φ = 1471343616000.

The previous prime is 5964640488563. The next prime is 5964640488589. The reversal of 5964640488576 is 6758840464695.

It is a happy number.

5964640488576 is a `hidden beast` number, since 5 + 9 + 6 + 4 + 6 + 4 + 0 + 48 + 8 + 576 = 666.

It is an interprime number because it is at equal distance from previous prime (5964640488563) and next prime (5964640488589).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 13586880165 + ... + 13586880603.

Almost surely, 2^{5964640488576} is an apocalyptic number.

5964640488576 is a gapful number since it is divisible by the number (56) 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 5964640488576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11678738227200).

5964640488576 is an abundant number, since it is smaller than the sum of its proper divisors (17392835965824).

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

5964640488576 is a wasteful number, since it uses less digits than its factorization.

5964640488576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 1393459200, while the sum is 72.

The spelling of 5964640488576 in words is "five trillion, nine hundred sixty-four billion, six hundred forty million, four hundred eighty-eight thousand, five hundred seventy-six".