83964698496 has 320 divisors, whose sum is σ = 286505213280. Its totient is φ = 23911759872.

The previous prime is 83964698479. The next prime is 83964698533. The reversal of 83964698496 is 69489646938.

83964698496 is a `hidden beast` number, since 8 + 3 + 9 + 6 + 46 + 98 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24456396 + ... + 24459828.

Almost surely, 2^83964698496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83964698496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143252606640).

83964698496 is an abundant number, since it is smaller than the sum of its proper divisors (202540514784).

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

83964698496 is a wasteful number, since it uses less digits than its factorization.

83964698496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3803 (or 3782 counting only the distinct ones).

The product of its digits is 483729408, while the sum is 72.

The spelling of 83964698496 in words is "eighty-three billion, nine hundred sixty-four million, six hundred ninety-eight thousand, four hundred ninety-six".