64131261624 has 128 divisors (see below), whose sum is σ = 182924352000. Its totient is φ = 20810310912.

The previous prime is 64131261611. The next prime is 64131261643. The reversal of 64131261624 is 42616213146.

64131261624 is a `hidden beast` number, since 6 + 4 + 1 + 3 + 1 + 26 + 1 + 624 = 666.

It is a super-2 number, since 2×64131261624² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1288204 + ... + 1337060.

It is an arithmetic number, because the mean of its divisors is an integer number (1429096500).

Almost surely, 2^64131261624 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 64131261624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91462176000).

64131261624 is an abundant number, since it is smaller than the sum of its proper divisors (118793090376).

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

64131261624 is a wasteful number, since it uses less digits than its factorization.

64131261624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49034 (or 49024 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 64131261624 in words is "sixty-four billion, one hundred thirty-one million, two hundred sixty-one thousand, six hundred twenty-four".