376099007328000 has 1152 divisors, whose sum is σ = 1516908493900800. Its totient is φ = 91012276224000.

The previous prime is 376099007327977. The next prime is 376099007328001. The reversal of 376099007328000 is 823700990673.

376099007328000 is a `hidden beast` number, since 3 + 7 + 609 + 9 + 0 + 0 + 7 + 3 + 28 + 0 + 0 + 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (376099007328001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5350716856 + ... + 5350787144.

It is an arithmetic number, because the mean of its divisors is an integer number (1316760845400).

Almost surely, 2^{376099007328000} is an apocalyptic number.

376099007328000 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 376099007328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758454246950400).

376099007328000 is an abundant number, since it is smaller than the sum of its proper divisors (1140809486572800).

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

376099007328000 is a wasteful number, since it uses less digits than its factorization.

376099007328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70903 (or 70873 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 376099007328000 in words is "three hundred seventy-six trillion, ninety-nine billion, seven million, three hundred twenty-eight thousand".