36712051200 has 1440 divisors, whose sum is σ = 157915517760. Its totient is φ = 8360755200.

The previous prime is 36712051169. The next prime is 36712051213. The reversal of 36712051200 is 215021763.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×36712051200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 992217582 + ... + 992217618.

It is an arithmetic number, because the mean of its divisors is an integer number (109663554).

Almost surely, 2^36712051200 is an apocalyptic number.

36712051200 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 36712051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78957758880).

36712051200 is an abundant number, since it is smaller than the sum of its proper divisors (121203466560).

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

36712051200 is a wasteful number, since it uses less digits than its factorization.

36712051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 36712051200 its reverse (215021763), we get a palindrome (36927072963).

The spelling of 36712051200 in words is "thirty-six billion, seven hundred twelve million, fifty-one thousand, two hundred".