36450697006080 has 1408 divisors, whose sum is σ = 153323881758720. Its totient is φ = 8036278272000.

The previous prime is 36450697006079. The next prime is 36450697006219. The reversal of 36450697006080 is 8060079605463.

36450697006080 is a `hidden beast` number, since 3 + 6 + 4 + 506 + 9 + 70 + 0 + 60 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9929362645 + ... + 9929366315.

Almost surely, 2^{36450697006080} is an apocalyptic number.

36450697006080 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 36450697006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76661940879360).

36450697006080 is an abundant number, since it is smaller than the sum of its proper divisors (116873184752640).

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

36450697006080 is a wasteful number, since it uses less digits than its factorization.

36450697006080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4074 (or 4050 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 36450697006080 in words is "thirty-six trillion, four hundred fifty billion, six hundred ninety-seven million, six thousand, eighty".