36974423566080 has 3456 divisors, whose sum is σ = 180068501329920. Its totient is φ = 6994846679040.

The previous prime is 36974423566051. The next prime is 36974423566103. The reversal of 36974423566080 is 8066532447963.

36974423566080 is a `hidden beast` number, since 3 + 6 + 9 + 7 + 44 + 23 + 566 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 36974423565999 and 36974423566017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 506498952924 + ... + 506498952996.

It is an arithmetic number, because the mean of its divisors is an integer number (52103154320).

Almost surely, 2^{36974423566080} is an apocalyptic number.

36974423566080 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 36974423566080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90034250664960).

36974423566080 is an abundant number, since it is smaller than the sum of its proper divisors (143094077763840).

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

36974423566080 is an frugal number, since it uses more digits than its factorization.

36974423566080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 36974423566080 in words is "thirty-six trillion, nine hundred seventy-four billion, four hundred twenty-three million, five hundred sixty-six thousand, eighty".