84413767680 has 784 divisors, whose sum is σ = 332633354544. Its totient is φ = 20384317440.

The previous prime is 84413767657. The next prime is 84413767681. The reversal of 84413767680 is 8676731448.

84413767680 is a `hidden beast` number, since 84 + 413 + 7 + 6 + 76 + 80 = 666.

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 (84413767681) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 328458112 + ... + 328458368.

Almost surely, 2^84413767680 is an apocalyptic number.

84413767680 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 84413767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166316677272).

84413767680 is an abundant number, since it is smaller than the sum of its proper divisors (248219586864).

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

84413767680 is an equidigital number, since it uses as much as digits as its factorization.

84413767680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 84413767680 in words is "eighty-four billion, four hundred thirteen million, seven hundred sixty-seven thousand, six hundred eighty".