36642325440 has 504 divisors, whose sum is σ = 139334534640. Its totient is φ = 8134705152.

The previous prime is 36642325411. The next prime is 36642325513. The reversal of 36642325440 is 4452324663.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64397476 + ... + 64398044.

It is an arithmetic number, because the mean of its divisors is an integer number (276457410).

Almost surely, 2^36642325440 is an apocalyptic number.

36642325440 is a gapful number since it is divisible by the number (30) 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 36642325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69667267320).

36642325440 is an abundant number, since it is smaller than the sum of its proper divisors (102692209200).

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

36642325440 is a wasteful number, since it uses less digits than its factorization.

36642325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 39.

The spelling of 36642325440 in words is "thirty-six billion, six hundred forty-two million, three hundred twenty-five thousand, four hundred forty".