36975544778340 has 720 divisors, whose sum is σ = 140035734558720. Its totient is φ = 8133724408320.

The previous prime is 36975544778339. The next prime is 36975544778351. The reversal of 36975544778340 is 4387744557963.

36975544778340 is a `hidden beast` number, since 3 + 6 + 9 + 7 + 5 + 544 + 7 + 78 + 3 + 4 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 715902397 + ... + 715954043.

It is an arithmetic number, because the mean of its divisors is an integer number (194494075776).

Almost surely, 2^{36975544778340} is an apocalyptic number.

36975544778340 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 36975544778340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70017867279360).

36975544778340 is an abundant number, since it is smaller than the sum of its proper divisors (103060189780380).

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

36975544778340 is a wasteful number, since it uses less digits than its factorization.

36975544778340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52022 (or 52004 counting only the distinct ones).

The product of its (nonzero) digits is 2133734400, while the sum is 72.

The spelling of 36975544778340 in words is "thirty-six trillion, nine hundred seventy-five billion, five hundred forty-four million, seven hundred seventy-eight thousand, three hundred forty".