84060381672960 has 1280 divisors, whose sum is σ = 337940610416640. Its totient is φ = 17316501258240.

The previous prime is 84060381672931. The next prime is 84060381673027. The reversal of 84060381672960 is 6927618306048.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×84060381672960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 84060381672894 and 84060381672903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47304659592 + ... + 47304661368.

It is an arithmetic number, because the mean of its divisors is an integer number (264016101888).

Almost surely, 2^{84060381672960} is an apocalyptic number.

84060381672960 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 84060381672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168970305208320).

84060381672960 is an abundant number, since it is smaller than the sum of its proper divisors (253880228743680).

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

84060381672960 is a wasteful number, since it uses less digits than its factorization.

84060381672960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2467 (or 2451 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 84060381672960 in words is "eighty-four trillion, sixty billion, three hundred eighty-one million, six hundred seventy-two thousand, nine hundred sixty".