376638472080 has 960 divisors, whose sum is σ = 1547810933760. Its totient is φ = 84220674048.

The previous prime is 376638472069. The next prime is 376638472081. The reversal of 376638472080 is 80274836673.

376638472080 is a `hidden beast` number, since 3 + 7 + 66 + 38 + 472 + 0 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (376638472081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 124589449 + ... + 124592471.

It is an arithmetic number, because the mean of its divisors is an integer number (1612303056).

Almost surely, 2^376638472080 is an apocalyptic number.

376638472080 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 376638472080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773905466880).

376638472080 is an abundant number, since it is smaller than the sum of its proper divisors (1171172461680).

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

376638472080 is a wasteful number, since it uses less digits than its factorization.

376638472080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3110 (or 3092 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 376638472080 in words is "three hundred seventy-six billion, six hundred thirty-eight million, four hundred seventy-two thousand, eighty".