36783920544 has 288 divisors, whose sum is σ = 119339329536. Its totient is φ = 9857433600.

The previous prime is 36783920507. The next prime is 36783920567. The reversal of 36783920544 is 44502938763.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30627144 + ... + 30628344.

It is an arithmetic number, because the mean of its divisors is an integer number (414372672).

Almost surely, 2^36783920544 is an apocalyptic number.

36783920544 is a gapful number since it is divisible by the number (34) 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 36783920544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59669664768).

36783920544 is an abundant number, since it is smaller than the sum of its proper divisors (82555408992).

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

36783920544 is a wasteful number, since it uses less digits than its factorization.

36783920544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 36783920544 in words is "thirty-six billion, seven hundred eighty-three million, nine hundred twenty thousand, five hundred forty-four".