36761368634496 has 640 divisors, whose sum is σ = 126493173797760. Its totient is φ = 10474075422720.

The previous prime is 36761368634489. The next prime is 36761368634537. The reversal of 36761368634496 is 69443686316763.

36761368634496 is a `hidden beast` number, since 3 + 6 + 7 + 6 + 13 + 68 + 63 + 4 + 496 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2060952490 + ... + 2060970326.

It is an arithmetic number, because the mean of its divisors is an integer number (197645584059).

Almost surely, 2^{36761368634496} is an apocalyptic number.

36761368634496 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 36761368634496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63246586898880).

36761368634496 is an abundant number, since it is smaller than the sum of its proper divisors (89731805163264).

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

36761368634496 is a wasteful number, since it uses less digits than its factorization.

36761368634496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18954 (or 18933 counting only the distinct ones).

The product of its digits is 1693052928, while the sum is 72.

The spelling of 36761368634496 in words is "thirty-six trillion, seven hundred sixty-one billion, three hundred sixty-eight million, six hundred thirty-four thousand, four hundred ninety-six".