84742680000 has 560 divisors, whose sum is σ = 312967518336. Its totient is φ = 20052480000.

The previous prime is 84742679939. The next prime is 84742680059. The reversal of 84742680000 is 8624748.

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 79 ways as a sum of consecutive naturals, for example, 56759254 + ... + 56760746.

Almost surely, 2^84742680000 is an apocalyptic number.

84742680000 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 84742680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156483759168).

84742680000 is an abundant number, since it is smaller than the sum of its proper divisors (228224838336).

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

84742680000 is a wasteful number, since it uses less digits than its factorization.

84742680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 84742680000 in words is "eighty-four billion, seven hundred forty-two million, six hundred eighty thousand".