83034864000 has 1536 divisors, whose sum is σ = 357447168000. Its totient is φ = 18247680000.

The previous prime is 83034863999. The next prime is 83034864013. The reversal of 83034864000 is 46843038.

83034864000 is a `hidden beast` number, since 8 + 3 + 0 + 3 + 4 + 8 + 640 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 932975956 + ... + 932976044.

It is an arithmetic number, because the mean of its divisors is an integer number (232713000).

Almost surely, 2^83034864000 is an apocalyptic number.

83034864000 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 83034864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178723584000).

83034864000 is an abundant number, since it is smaller than the sum of its proper divisors (274412304000).

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

83034864000 is a wasteful number, since it uses less digits than its factorization.

83034864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 83034864000 in words is "eighty-three billion, thirty-four million, eight hundred sixty-four thousand".