36974885376000 has 2496 divisors, whose sum is σ = 151930230626304. Its totient is φ = 7900299264000.

The previous prime is 36974885375999. The next prime is 36974885376031. The reversal of 36974885376000 is 67358847963.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a super-2 number, since 2×36974885376000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 65674751719 + ... + 65674752281.

It is an arithmetic number, because the mean of its divisors is an integer number (60869483424).

Almost surely, 2^{36974885376000} is an apocalyptic number.

36974885376000 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 36974885376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75965115313152).

36974885376000 is an abundant number, since it is smaller than the sum of its proper divisors (114955345250304).

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

36974885376000 is a wasteful number, since it uses less digits than its factorization.

36974885376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 66.

The spelling of 36974885376000 in words is "thirty-six trillion, nine hundred seventy-four billion, eight hundred eighty-five million, three hundred seventy-six thousand".