376268199840 has 288 divisors, whose sum is σ = 1464127204176. Its totient is φ = 87171563520.

The previous prime is 376268199809. The next prime is 376268199851. The reversal of 376268199840 is 48991862673.

376268199840 is a `hidden beast` number, since 376 + 26 + 81 + 99 + 84 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 103295388816 + 272972811024 = 321396^2 + 522468^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272931 + ... + 909410.

Almost surely, 2^376268199840 is an apocalyptic number.

376268199840 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 376268199840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732063602088).

376268199840 is an abundant number, since it is smaller than the sum of its proper divisors (1087859004336).

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

376268199840 is a wasteful number, since it uses less digits than its factorization.

376268199840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182392 (or 1182381 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 376268199840 in words is "three hundred seventy-six billion, two hundred sixty-eight million, one hundred ninety-nine thousand, eight hundred forty".