83784564864 has 1536 divisors, whose sum is σ = 352653004800. Its totient is φ = 19214807040.

The previous prime is 83784564859. The next prime is 83784564881. The reversal of 83784564864 is 46846548738.

83784564864 is a `hidden beast` number, since 8 + 3 + 7 + 8 + 4 + 564 + 8 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 3642807157 + ... + 3642807179.

It is an arithmetic number, because the mean of its divisors is an integer number (229591800).

Almost surely, 2^83784564864 is an apocalyptic number.

83784564864 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 83784564864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176326502400).

83784564864 is an abundant number, since it is smaller than the sum of its proper divisors (268868439936).

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

83784564864 is a wasteful number, since it uses less digits than its factorization.

83784564864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 59 counting only the distinct ones).

The product of its digits is 123863040, while the sum is 63.

The spelling of 83784564864 in words is "eighty-three billion, seven hundred eighty-four million, five hundred sixty-four thousand, eight hundred sixty-four".