36979240858560 has 1344 divisors, whose sum is σ = 177102299372544. Its totient is φ = 7092906393600.

The previous prime is 36979240858537. The next prime is 36979240858589. The reversal of 36979240858560 is 6585804297963.

It is a happy number.

36979240858560 is a `hidden beast` number, since 3 + 6 + 9 + 7 + 9 + 2 + 4 + 0 + 8 + 58 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 77600220 + ... + 78075300.

It is an arithmetic number, because the mean of its divisors is an integer number (131772544176).

Almost surely, 2^{36979240858560} is an apocalyptic number.

36979240858560 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 36979240858560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88551149686272).

36979240858560 is an abundant number, since it is smaller than the sum of its proper divisors (140123058513984).

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

36979240858560 is a wasteful number, since it uses less digits than its factorization.

36979240858560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475144 (or 475122 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 36979240858560 in words is "thirty-six trillion, nine hundred seventy-nine billion, two hundred forty million, eight hundred fifty-eight thousand, five hundred sixty".