83367728496000 has 2688 divisors, whose sum is σ = 353445876332640. Its totient is φ = 19428454195200.

The previous prime is 83367728495977. The next prime is 83367728496079. The reversal of 83367728496000 is 69482776338.

83367728496000 is a `hidden beast` number, since 83 + 3 + 67 + 7 + 2 + 8 + 496 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 54739151239 + ... + 54739152761.

Almost surely, 2^{83367728496000} is an apocalyptic number.

83367728496000 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 83367728496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176722938166320).

83367728496000 is an abundant number, since it is smaller than the sum of its proper divisors (270078147836640).

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

83367728496000 is a wasteful number, since it uses less digits than its factorization.

83367728496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 83367728496000 in words is "eighty-three trillion, three hundred sixty-seven billion, seven hundred twenty-eight million, four hundred ninety-six thousand".