376400199321600 has 1728 divisors, whose sum is σ = 1367621016652800. Its totient is φ = 91059771801600.

The previous prime is 376400199321551. The next prime is 376400199321607. The reversal of 376400199321600 is 6123991004673.

It is a super-2 number, since 2×376400199321600² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (376400199321607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 288871986549 + ... + 288871987851.

It is an arithmetic number, because the mean of its divisors is an integer number (791447347600).

Almost surely, 2^{376400199321600} is an apocalyptic number.

376400199321600 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 376400199321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683810508326400).

376400199321600 is an abundant number, since it is smaller than the sum of its proper divisors (991220817331200).

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

376400199321600 is a wasteful number, since it uses less digits than its factorization.

376400199321600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 51.

The spelling of 376400199321600 in words is "three hundred seventy-six trillion, four hundred billion, one hundred ninety-nine million, three hundred twenty-one thousand, six hundred".