84761389440 has 1024 divisors, whose sum is σ = 389055744000. Its totient is φ = 16936501248.

The previous prime is 84761389409. The next prime is 84761389441. The reversal of 84761389440 is 4498316748.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84761389441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29875702 + ... + 29878538.

It is an arithmetic number, because the mean of its divisors is an integer number (379937250).

Almost surely, 2^84761389440 is an apocalyptic number.

84761389440 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 84761389440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194527872000).

84761389440 is an abundant number, since it is smaller than the sum of its proper divisors (304294354560).

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

84761389440 is a wasteful number, since it uses less digits than its factorization.

84761389440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 84761389440 in words is "eighty-four billion, seven hundred sixty-one million, three hundred eighty-nine thousand, four hundred forty".