36507642624 has 144 divisors (see below), whose sum is σ = 108176656000. Its totient is φ = 12144743424.

The previous prime is 36507642617. The next prime is 36507642637. The reversal of 36507642624 is 42624670563.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 36507642624.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3609927 + ... + 3620025.

Almost surely, 2^36507642624 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 36507642624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54088328000).

36507642624 is an abundant number, since it is smaller than the sum of its proper divisors (71669013376).

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

36507642624 is a wasteful number, since it uses less digits than its factorization.

36507642624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10647 (or 10627 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 36507642624 in words is "thirty-six billion, five hundred seven million, six hundred forty-two thousand, six hundred twenty-four".