36972670320 has 800 divisors, whose sum is σ = 143349896448. Its totient is φ = 8790736896.

The previous prime is 36972670313. The next prime is 36972670321. The reversal of 36972670320 is 2307627963.

36972670320 is a `hidden beast` number, since 3 + 69 + 7 + 267 + 0 + 320 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36972670321) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 191568144 + ... + 191568336.

Almost surely, 2^36972670320 is an apocalyptic number.

36972670320 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 36972670320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71674948224).

36972670320 is an abundant number, since it is smaller than the sum of its proper divisors (106377226128).

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

36972670320 is a wasteful number, since it uses less digits than its factorization.

36972670320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 36972670320 in words is "thirty-six billion, nine hundred seventy-two million, six hundred seventy thousand, three hundred twenty".