369661134775680 has 3584 divisors, whose sum is σ = 1600517988864000. Its totient is φ = 80589319372800.

The previous prime is 369661134775657. The next prime is 369661134775687. The reversal of 369661134775680 is 86577431166963.

369661134775680 is a `hidden beast` number, since 3 + 6 + 9 + 6 + 6 + 1 + 13 + 47 + 7 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 369661134775599 and 369661134775608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (369661134775687) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 172497028689 + ... + 172497030831.

Almost surely, 2^{369661134775680} is an apocalyptic number.

369661134775680 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 369661134775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800258994432000).

369661134775680 is an abundant number, since it is smaller than the sum of its proper divisors (1230856854088320).

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

369661134775680 is a wasteful number, since it uses less digits than its factorization.

369661134775680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 369661134775680 in words is "three hundred sixty-nine trillion, six hundred sixty-one billion, one hundred thirty-four million, seven hundred seventy-five thousand, six hundred eighty".