36124663680 has 384 divisors, whose sum is σ = 144582796800. Its totient is φ = 8140124160.

The previous prime is 36124663591. The next prime is 36124663699. The reversal of 36124663680 is 8636642163.

36124663680 is a `hidden beast` number, since 3 + 6 + 1 + 2 + 4 + 6 + 636 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×36124663680² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 2856411 + ... + 2869029.

It is an arithmetic number, because the mean of its divisors is an integer number (376517700).

Almost surely, 2^36124663680 is an apocalyptic number.

36124663680 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 36124663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72291398400).

36124663680 is an abundant number, since it is smaller than the sum of its proper divisors (108458133120).

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

36124663680 is a wasteful number, since it uses less digits than its factorization.

36124663680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12722 (or 12707 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 36124663680 in words is "thirty-six billion, one hundred twenty-four million, six hundred sixty-three thousand, six hundred eighty".