376984903680 has 1792 divisors, whose sum is σ = 1766533017600. Its totient is φ = 73893150720.

The previous prime is 376984903643. The next prime is 376984903739. The reversal of 376984903680 is 86309489673.

376984903680 is a `hidden beast` number, since 3 + 7 + 69 + 8 + 490 + 3 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1617960844 + ... + 1617961076.

Almost surely, 2^376984903680 is an apocalyptic number.

376984903680 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 376984903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883266508800).

376984903680 is an abundant number, since it is smaller than the sum of its proper divisors (1389548113920).

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

376984903680 is a wasteful number, since it uses less digits than its factorization.

376984903680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 376984903680 in words is "three hundred seventy-six billion, nine hundred eighty-four million, nine hundred three thousand, six hundred eighty".