83384779056480 has 384 divisors, whose sum is σ = 335135000793600. Its totient is φ = 19150571059200.

The previous prime is 83384779056473. The next prime is 83384779056493. The reversal of 83384779056480 is 8465097748338.

83384779056480 is a `hidden beast` number, since 8 + 3 + 3 + 8 + 4 + 7 + 7 + 90 + 56 + 480 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 83384779056399 and 83384779056408.

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 63 ways as a sum of consecutive naturals, for example, 45274231 + ... + 47079990.

It is an arithmetic number, because the mean of its divisors is an integer number (872747397900).

Almost surely, 2^{83384779056480} is an apocalyptic number.

83384779056480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83384779056480 is an abundant number, since it is smaller than the sum of its proper divisors (251750221737120).

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

83384779056480 is a wasteful number, since it uses less digits than its factorization.

83384779056480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92354275 (or 92354261 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 83384779056480 in words is "eighty-three trillion, three hundred eighty-four billion, seven hundred seventy-nine million, fifty-six thousand, four hundred eighty".