930682872000 has 840 divisors, whose sum is σ = 4005290285568. Its totient is φ = 212720256000.

The previous prime is 930682871959. The next prime is 930682872011. The reversal of 930682872000 is 278286039.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 31737345 + ... + 31766655.

Almost surely, 2^930682872000 is an apocalyptic number.

930682872000 is a gapful number since it is divisible by the number (90) 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 930682872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002645142784).

930682872000 is an abundant number, since it is smaller than the sum of its proper divisors (3074607413568).

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

930682872000 is a wasteful number, since it uses less digits than its factorization.

930682872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29364 (or 29328 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 930682872000 in words is "nine hundred thirty billion, six hundred eighty-two million, eight hundred seventy-two thousand".