36972558000 has 960 divisors, whose sum is σ = 156790857600. Its totient is φ = 8302694400.

The previous prime is 36972557989. The next prime is 36972558013. The reversal of 36972558000 is 85527963.

It is a happy number.

36972558000 is a `hidden beast` number, since 3 + 6 + 97 + 2 + 558 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 235493922 + ... + 235494078.

It is an arithmetic number, because the mean of its divisors is an integer number (163323810).

Almost surely, 2^36972558000 is an apocalyptic number.

36972558000 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 36972558000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78395428800).

36972558000 is an abundant number, since it is smaller than the sum of its proper divisors (119818299600).

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

36972558000 is a wasteful number, since it uses less digits than its factorization.

36972558000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 36972558000 in words is "thirty-six billion, nine hundred seventy-two million, five hundred fifty-eight thousand".