53974576433664 has 640 divisors, whose sum is σ = 167528077516800. Its totient is φ = 17136203857920.

The previous prime is 53974576433653. The next prime is 53974576433669. The reversal of 53974576433664 is 46633467547935.

53974576433664 is a `hidden beast` number, since 5 + 3 + 9 + 7 + 4 + 576 + 43 + 3 + 6 + 6 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 53974576433592 and 53974576433601.

It is not an unprimeable number, because it can be changed into a prime (53974576433669) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9215393424 + ... + 9215399280.

It is an arithmetic number, because the mean of its divisors is an integer number (261762621120).

Almost surely, 2^{53974576433664} is an apocalyptic number.

53974576433664 is a gapful number since it is divisible by the number (54) 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 53974576433664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83764038758400).

53974576433664 is an abundant number, since it is smaller than the sum of its proper divisors (113553501083136).

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

53974576433664 is a wasteful number, since it uses less digits than its factorization.

53974576433664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6221 (or 6199 counting only the distinct ones).

The product of its digits is 4115059200, while the sum is 72.

The spelling of 53974576433664 in words is "fifty-three trillion, nine hundred seventy-four billion, five hundred seventy-six million, four hundred thirty-three thousand, six hundred sixty-four".