63616011477264 has 400 divisors, whose sum is σ = 195680411031600. Its totient is φ = 19883723194368.

The previous prime is 63616011477259. The next prime is 63616011477311. The reversal of 63616011477264 is 46277411061636.

63616011477264 is a `hidden beast` number, since 6 + 3 + 6 + 1 + 601 + 1 + 4 + 7 + 7 + 26 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5425172640000 + 58190838837264 = 2329200^2 + 7628292^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 63616011477264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8125684102 + ... + 8125691930.

It is an arithmetic number, because the mean of its divisors is an integer number (489201027579).

Almost surely, 2^{63616011477264} 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 63616011477264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97840205515800).

63616011477264 is an abundant number, since it is smaller than the sum of its proper divisors (132064399554336).

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

63616011477264 is a wasteful number, since it uses less digits than its factorization.

63616011477264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9192 (or 9177 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 63616011477264 in words is "sixty-three trillion, six hundred sixteen billion, eleven million, four hundred seventy-seven thousand, two hundred sixty-four".