816929920000 has 440 divisors, whose sum is σ = 2114283612672. Its totient is φ = 315187200000.

The previous prime is 816929919983. The next prime is 816929920003. The reversal of 816929920000 is 29929618.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816929920003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4277119905 + ... + 4277120095.

Almost surely, 2^816929920000 is an apocalyptic number.

816929920000 is a gapful number since it is divisible by the number (80) 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 816929920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057141806336).

816929920000 is an abundant number, since it is smaller than the sum of its proper divisors (1297353692672).

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

816929920000 is a wasteful number, since it uses less digits than its factorization.

816929920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 46.

The spelling of 816929920000 in words is "eight hundred sixteen billion, nine hundred twenty-nine million, nine hundred twenty thousand".