376247168640 has 1024 divisors, whose sum is σ = 1655083008000. Its totient is φ = 78829977600.

The previous prime is 376247168623. The next prime is 376247168669. The reversal of 376247168640 is 46861742673.

376247168640 is a `hidden beast` number, since 3 + 7 + 624 + 7 + 1 + 6 + 8 + 6 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 71242800 + ... + 71248080.

It is an arithmetic number, because the mean of its divisors is an integer number (1616292000).

Almost surely, 2^376247168640 is an apocalyptic number.

376247168640 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 376247168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827541504000).

376247168640 is an abundant number, since it is smaller than the sum of its proper divisors (1278835839360).

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

376247168640 is a wasteful number, since it uses less digits than its factorization.

376247168640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5366 (or 5348 counting only the distinct ones).

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

The spelling of 376247168640 in words is "three hundred seventy-six billion, two hundred forty-seven million, one hundred sixty-eight thousand, six hundred forty".