84095477760 has 768 divisors, whose sum is σ = 328333824000. Its totient is φ = 18333106176.

The previous prime is 84095477759. The next prime is 84095477761. The reversal of 84095477760 is 6777459048.

It is an interprime number because it is at equal distance from previous prime (84095477759) and next prime (84095477761).

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 84095477760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84095477761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 242349907 + ... + 242350253.

It is an arithmetic number, because the mean of its divisors is an integer number (427518000).

Almost surely, 2^84095477760 is an apocalyptic number.

84095477760 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 84095477760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164166912000).

84095477760 is an abundant number, since it is smaller than the sum of its proper divisors (244238346240).

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

84095477760 is a wasteful number, since it uses less digits than its factorization.

84095477760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 57.

The spelling of 84095477760 in words is "eighty-four billion, ninety-five million, four hundred seventy-seven thousand, seven hundred sixty".