36974299950720 has 2304 divisors, whose sum is σ = 152621520105600. Its totient is φ = 8173014220800.

The previous prime is 36974299950661. The next prime is 36974299950733. The reversal of 36974299950720 is 2705999247963.

36974299950720 is a `hidden beast` number, since 3 + 6 + 9 + 7 + 4 + 2 + 9 + 99 + 507 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 83463430819 + ... + 83463431261.

Almost surely, 2^{36974299950720} is an apocalyptic number.

36974299950720 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 36974299950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76310760052800).

36974299950720 is an abundant number, since it is smaller than the sum of its proper divisors (115647220154880).

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

36974299950720 is a wasteful number, since it uses less digits than its factorization.

36974299950720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 462944160, while the sum is 72.

The spelling of 36974299950720 in words is "thirty-six trillion, nine hundred seventy-four billion, two hundred ninety-nine million, nine hundred fifty thousand, seven hundred twenty".