84073586688 has 448 divisors, whose sum is σ = 306647819520. Its totient is φ = 22167945216.

The previous prime is 84073586669. The next prime is 84073586783. The reversal of 84073586688 is 88668537048.

84073586688 is a `hidden beast` number, since 8 + 40 + 7 + 3 + 586 + 6 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20125656 + ... + 20129832.

It is an arithmetic number, because the mean of its divisors is an integer number (684481740).

Almost surely, 2^84073586688 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 84073586688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153323909760).

84073586688 is an abundant number, since it is smaller than the sum of its proper divisors (222574232832).

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

84073586688 is a wasteful number, since it uses less digits than its factorization.

84073586688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4232 (or 4202 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

It can be divided in two parts, 84073 and 586688, that added together give a square (670761 = 819²).

The spelling of 84073586688 in words is "eighty-four billion, seventy-three million, five hundred eighty-six thousand, six hundred eighty-eight".