84761514240 has 288 divisors, whose sum is σ = 295234705920. Its totient is φ = 20599308288.

The previous prime is 84761514203. The next prime is 84761514247. The reversal of 84761514240 is 4241516748.

It is a junction number, because it is equal to n+sod(n) for n = 84761514192 and 84761514201.

It is not an unprimeable number, because it can be changed into a prime (84761514247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3932934 + ... + 3954426.

Almost surely, 2^84761514240 is an apocalyptic number.

84761514240 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 84761514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147617352960).

84761514240 is an abundant number, since it is smaller than the sum of its proper divisors (210473191680).

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

84761514240 is a wasteful number, since it uses less digits than its factorization.

84761514240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21609 (or 21595 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 84761514240 in words is "eighty-four billion, seven hundred sixty-one million, five hundred fourteen thousand, two hundred forty".