36777720672 has 432 divisors, whose sum is σ = 134447040000. Its totient is φ = 9428590080.

The previous prime is 36777720611. The next prime is 36777720673. The reversal of 36777720672 is 27602777763.

36777720672 is a `hidden beast` number, since 367 + 7 + 7 + 7 + 206 + 72 = 666.

It is a super-2 number, since 2×36777720672² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36777720673) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12261829 + ... + 12264827.

It is an arithmetic number, because the mean of its divisors is an integer number (311220000).

Almost surely, 2^36777720672 is an apocalyptic number.

36777720672 is a gapful number since it is divisible by the number (32) 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 36777720672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67223520000).

36777720672 is an abundant number, since it is smaller than the sum of its proper divisors (97669319328).

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

36777720672 is a wasteful number, since it uses less digits than its factorization.

36777720672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3119 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 7260624, while the sum is 54.

The spelling of 36777720672 in words is "thirty-six billion, seven hundred seventy-seven million, seven hundred twenty thousand, six hundred seventy-two".