36382144680 has 1024 divisors, whose sum is σ = 153031680000. Its totient is φ = 7598582784.

The previous prime is 36382144663. The next prime is 36382144709. The reversal of 36382144680 is 8644128363.

36382144680 is a `hidden beast` number, since 3 + 638 + 2 + 1 + 4 + 4 + 6 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 616646491 + ... + 616646549.

It is an arithmetic number, because the mean of its divisors is an integer number (149445000).

Almost surely, 2^36382144680 is an apocalyptic number.

36382144680 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 36382144680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76515840000).

36382144680 is an abundant number, since it is smaller than the sum of its proper divisors (116649535320).

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

36382144680 is a wasteful number, since it uses less digits than its factorization.

36382144680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 36382144680 in words is "thirty-six billion, three hundred eighty-two million, one hundred forty-four thousand, six hundred eighty".