36381687772560 has 640 divisors, whose sum is σ = 128403781632000. Its totient is φ = 8447586287616.

The previous prime is 36381687772519. The next prime is 36381687772589. The reversal of 36381687772560 is 6527778618363.

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, 17432527837 + ... + 17432529923.

It is an arithmetic number, because the mean of its divisors is an integer number (200630908800).

Almost surely, 2^{36381687772560} is an apocalyptic number.

36381687772560 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 36381687772560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64201890816000).

36381687772560 is an abundant number, since it is smaller than the sum of its proper divisors (92022093859440).

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

36381687772560 is a wasteful number, since it uses less digits than its factorization.

36381687772560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3263 (or 3257 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 69.

The spelling of 36381687772560 in words is "thirty-six trillion, three hundred eighty-one billion, six hundred eighty-seven million, seven hundred seventy-two thousand, five hundred sixty".