84079551923640 has 1152 divisors, whose sum is σ = 351593696563200. Its totient is φ = 17043727933440.

The previous prime is 84079551923597. The next prime is 84079551923683. The reversal of 84079551923640 is 4632915597048.

84079551923640 is a `hidden beast` number, since 8 + 4 + 0 + 7 + 9 + 551 + 9 + 2 + 36 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (84079551923597) and next prime (84079551923683).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1835094012 + ... + 1835139828.

It is an arithmetic number, because the mean of its divisors is an integer number (305202861600).

It is a 2-persistent number, because it is pandigital, and so is 2⋅84079551923640 = 168159103847280, but 3⋅84079551923640 = 252238655770920 is not.

Almost surely, 2^{84079551923640} 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 84079551923640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175796848281600).

84079551923640 is an abundant number, since it is smaller than the sum of its proper divisors (267514144639560).

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

84079551923640 is a wasteful number, since it uses less digits than its factorization.

84079551923640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46037 (or 46017 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 84079551923640 in words is "eighty-four trillion, seventy-nine billion, five hundred fifty-one million, nine hundred twenty-three thousand, six hundred forty".