376390748160 has 1152 divisors, whose sum is σ = 1580200876800. Its totient is φ = 86032171008.

The previous prime is 376390748119. The next prime is 376390748317. The reversal of 376390748160 is 61847093673.

376390748160 is a `hidden beast` number, since 3 + 76 + 3 + 90 + 7 + 481 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 376390748097 and 376390748106.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 53770106877 + ... + 53770106883.

It is an arithmetic number, because the mean of its divisors is an integer number (1371702150).

Almost surely, 2^376390748160 is an apocalyptic number.

376390748160 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 376390748160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790100438400).

376390748160 is an abundant number, since it is smaller than the sum of its proper divisors (1203810128640).

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

376390748160 is an frugal number, since it uses more digits than its factorization.

376390748160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 376390748160 in words is "three hundred seventy-six billion, three hundred ninety million, seven hundred forty-eight thousand, one hundred sixty".