53812037664 has 720 divisors, whose sum is σ = 201409173504. Its totient is φ = 13795246080.

The previous prime is 53812037641. The next prime is 53812037687. The reversal of 53812037664 is 46673021835.

53812037664 is a `hidden beast` number, since 5 + 381 + 203 + 7 + 6 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (53812037641) and next prime (53812037687).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 278818752 + ... + 278818944.

Almost surely, 2^53812037664 is an apocalyptic number.

53812037664 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 53812037664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100704586752).

53812037664 is an abundant number, since it is smaller than the sum of its proper divisors (147597135840).

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

53812037664 is a wasteful number, since it uses less digits than its factorization.

53812037664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 53812037664 in words is "fifty-three billion, eight hundred twelve million, thirty-seven thousand, six hundred sixty-four".