369727303680 has 832 divisors, whose sum is σ = 1567891077120. Its totient is φ = 80815325184.

The previous prime is 369727303669. The next prime is 369727303697. The reversal of 369727303680 is 86303727963.

369727303680 is a `hidden beast` number, since 3 + 6 + 9 + 7 + 273 + 0 + 368 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89024484 + ... + 89028636.

Almost surely, 2^369727303680 is an apocalyptic number.

369727303680 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 369727303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783945538560).

369727303680 is an abundant number, since it is smaller than the sum of its proper divisors (1198163773440).

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

369727303680 is a wasteful number, since it uses less digits than its factorization.

369727303680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4221 (or 4193 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 369727303680 in words is "three hundred sixty-nine billion, seven hundred twenty-seven million, three hundred three thousand, six hundred eighty".