36792448560 has 400 divisors, whose sum is σ = 154634584896. Its totient is φ = 7914848256.

The previous prime is 36792448547. The next prime is 36792448607. The reversal of 36792448560 is 6584429763.

36792448560 is a `hidden beast` number, since 3 + 6 + 79 + 2 + 4 + 4 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 36792448497 and 36792448506.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 747264 + ... + 794976.

Almost surely, 2^36792448560 is an apocalyptic number.

36792448560 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 36792448560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77317292448).

36792448560 is an abundant number, since it is smaller than the sum of its proper divisors (117842136336).

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

36792448560 is a wasteful number, since it uses less digits than its factorization.

36792448560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47762 (or 47747 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 36792448560 in words is "thirty-six billion, seven hundred ninety-two million, four hundred forty-eight thousand, five hundred sixty".