83064002380800 has 1056 divisors, whose sum is σ = 321972492441600. Its totient is φ = 18491017789440.

The previous prime is 83064002380781. The next prime is 83064002380813. The reversal of 83064002380800 is 808320046038.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 8298926196 + ... + 8298936204.

It is an arithmetic number, because the mean of its divisors is an integer number (304898193600).

Almost surely, 2^{83064002380800} is an apocalyptic number.

83064002380800 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 83064002380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160986246220800).

83064002380800 is an abundant number, since it is smaller than the sum of its proper divisors (238908490060800).

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

83064002380800 is a wasteful number, since it uses less digits than its factorization.

83064002380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10451 (or 10428 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 83064002380800 in words is "eighty-three trillion, sixty-four billion, two million, three hundred eighty thousand, eight hundred".