84371006720 has 864 divisors, whose sum is σ = 288902557440. Its totient is φ = 23162388480.

The previous prime is 84371006693. The next prime is 84371006747. The reversal of 84371006720 is 2760017348.

It is an interprime number because it is at equal distance from previous prime (84371006693) and next prime (84371006747).

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 206285876 + ... + 206286284.

It is an arithmetic number, because the mean of its divisors is an integer number (334377960).

Almost surely, 2^84371006720 is an apocalyptic number.

84371006720 is a gapful number since it is divisible by the number (80) 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 84371006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144451278720).

84371006720 is an abundant number, since it is smaller than the sum of its proper divisors (204531550720).

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

84371006720 is a wasteful number, since it uses less digits than its factorization.

84371006720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The spelling of 84371006720 in words is "eighty-four billion, three hundred seventy-one million, six thousand, seven hundred twenty".