84922617360 has 960 divisors, whose sum is σ = 346863513600. Its totient is φ = 17028071424.

The previous prime is 84922617349. The next prime is 84922617407. The reversal of 84922617360 is 6371622948.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 300079779 + ... + 300080061.

It is an arithmetic number, because the mean of its divisors is an integer number (361316160).

Almost surely, 2^84922617360 is an apocalyptic number.

84922617360 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 84922617360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173431756800).

84922617360 is an abundant number, since it is smaller than the sum of its proper divisors (261940896240).

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

84922617360 is a wasteful number, since it uses less digits than its factorization.

84922617360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

It can be divided in two parts, 849226 and 17360, that added together give a triangular number (866586 = T₁₃₁₆).

The spelling of 84922617360 in words is "eighty-four billion, nine hundred twenty-two million, six hundred seventeen thousand, three hundred sixty".