332877312000 has 1248 divisors, whose sum is σ = 1291698420480. Its totient is φ = 82300108800.

The previous prime is 332877311999. The next prime is 332877312023. The reversal of 332877312000 is 213778233.

332877312000 is a `hidden beast` number, since 332 + 8 + 7 + 7 + 312 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×332877312000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6280703974 + ... + 6280704026.

It is an arithmetic number, because the mean of its divisors is an integer number (1035014760).

Almost surely, 2^332877312000 is an apocalyptic number.

332877312000 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 332877312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645849210240).

332877312000 is an abundant number, since it is smaller than the sum of its proper divisors (958821108480).

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

332877312000 is a wasteful number, since it uses less digits than its factorization.

332877312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 332877312000 in words is "three hundred thirty-two billion, eight hundred seventy-seven million, three hundred twelve thousand".