82201863744 has 1680 divisors, whose sum is σ = 348461600256. Its totient is φ = 18811699200.

The previous prime is 82201863727. The next prime is 82201863761. The reversal of 82201863744 is 44736810228.

It is a happy number.

82201863744 is a `hidden beast` number, since 8 + 2 + 2 + 0 + 1 + 8 + 637 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (82201863727) and next prime (82201863761).

It is a self number, because there is not a number n which added to its sum of digits gives 82201863744.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1126052892 + ... + 1126052964.

Almost surely, 2^82201863744 is an apocalyptic number.

82201863744 is a gapful number since it is divisible by the number (84) 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 82201863744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174230800128).

82201863744 is an abundant number, since it is smaller than the sum of its proper divisors (266259736512).

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

82201863744 is a wasteful number, since it uses less digits than its factorization.

82201863744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 82201863744 in words is "eighty-two billion, two hundred one million, eight hundred sixty-three thousand, seven hundred forty-four".