36961765776 has 240 divisors, whose sum is σ = 116377759680. Its totient is φ = 11288885760.

The previous prime is 36961765751. The next prime is 36961765811. The reversal of 36961765776 is 67756716963.

36961765776 is a `hidden beast` number, since 3 + 6 + 9 + 617 + 6 + 5 + 7 + 7 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7022986 + ... + 7028246.

It is an arithmetic number, because the mean of its divisors is an integer number (484907332).

Almost surely, 2^36961765776 is an apocalyptic number.

36961765776 is a gapful number since it is divisible by the number (36) 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 36961765776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58188879840).

36961765776 is an abundant number, since it is smaller than the sum of its proper divisors (79415993904).

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

36961765776 is a wasteful number, since it uses less digits than its factorization.

36961765776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5436 (or 5418 counting only the distinct ones).

The product of its digits is 60011280, while the sum is 63.

The spelling of 36961765776 in words is "thirty-six billion, nine hundred sixty-one million, seven hundred sixty-five thousand, seven hundred seventy-six".