84793406544 has 480 divisors, whose sum is σ = 302603298816. Its totient is φ = 21527700480.

The previous prime is 84793406543. The next prime is 84793406557. The reversal of 84793406544 is 44560439748.

84793406544 is a `hidden beast` number, since 8 + 4 + 7 + 93 + 4 + 0 + 6 + 544 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84793406543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116634309 + ... + 116635035.

Almost surely, 2^84793406544 is an apocalyptic number.

84793406544 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 84793406544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151301649408).

84793406544 is an abundant number, since it is smaller than the sum of its proper divisors (217809892272).

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

84793406544 is a wasteful number, since it uses less digits than its factorization.

84793406544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 84793406544 in words is "eighty-four billion, seven hundred ninety-three million, four hundred six thousand, five hundred forty-four".