36407332039680 has 792 divisors, whose sum is σ = 155378758418208. Its totient is φ = 7832157290496.

The previous prime is 36407332039643. The next prime is 36407332039711. The reversal of 36407332039680 is 8693023370463.

36407332039680 is a `hidden beast` number, since 364 + 0 + 73 + 3 + 203 + 9 + 6 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37910397 + ... + 38858883.

Almost surely, 2^{36407332039680} is an apocalyptic number.

36407332039680 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 36407332039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77689379209104).

36407332039680 is an abundant number, since it is smaller than the sum of its proper divisors (118971426378528).

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

36407332039680 is a wasteful number, since it uses less digits than its factorization.

36407332039680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948549 (or 948521 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 54.

The spelling of 36407332039680 in words is "thirty-six trillion, four hundred seven billion, three hundred thirty-two million, thirty-nine thousand, six hundred eighty".