82945749600 has 1080 divisors, whose sum is σ = 356250354768. Its totient is φ = 18724608000.

The previous prime is 82945749599. The next prime is 82945749613. The reversal of 82945749600 is 694754928.

82945749600 is a `hidden beast` number, since 8 + 2 + 9 + 4 + 574 + 9 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 479455114 + ... + 479455286.

Almost surely, 2^82945749600 is an apocalyptic number.

82945749600 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 82945749600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178125177384).

82945749600 is an abundant number, since it is smaller than the sum of its proper divisors (273304605168).

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

82945749600 is a wasteful number, since it uses less digits than its factorization.

82945749600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 82945749600 in words is "eighty-two billion, nine hundred forty-five million, seven hundred forty-nine thousand, six hundred".