36972778752000 has 3072 divisors, whose sum is σ = 172264303411200. Its totient is φ = 7613861068800.

The previous prime is 36972778751983. The next prime is 36972778752031. The reversal of 36972778752000 is 25787727963.

36972778752000 is a `hidden beast` number, since 3 + 6 + 9 + 7 + 27 + 7 + 87 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 27046655317 + ... + 27046656683.

It is an arithmetic number, because the mean of its divisors is an integer number (56075619600).

Almost surely, 2^{36972778752000} is an apocalyptic number.

36972778752000 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 36972778752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86132151705600).

36972778752000 is an abundant number, since it is smaller than the sum of its proper divisors (135291524659200).

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

36972778752000 is a wasteful number, since it uses less digits than its factorization.

36972778752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 62233920, while the sum is 63.

The spelling of 36972778752000 in words is "thirty-six trillion, nine hundred seventy-two billion, seven hundred seventy-eight million, seven hundred fifty-two thousand".