82633374720 has 924 divisors, whose sum is σ = 324275603256. Its totient is φ = 20185251840.

The previous prime is 82633374713. The next prime is 82633374743. The reversal of 82633374720 is 2747333628.

82633374720 is a `hidden beast` number, since 8 + 2 + 633 + 3 + 7 + 4 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 630789055 + ... + 630789185.

Almost surely, 2^82633374720 is an apocalyptic number.

82633374720 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 82633374720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162137801628).

82633374720 is an abundant number, since it is smaller than the sum of its proper divisors (241642228536).

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

82633374720 is a wasteful number, since it uses less digits than its factorization.

82633374720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 82633374720 in words is "eighty-two billion, six hundred thirty-three million, three hundred seventy-four thousand, seven hundred twenty".