84310279661664 has 960 divisors, whose sum is σ = 318782019346560. Its totient is φ = 21298187796480.

The previous prime is 84310279661639. The next prime is 84310279661711. The reversal of 84310279661664 is 46616697201348.

84310279661664 is a `hidden beast` number, since 8 + 4 + 3 + 1 + 0 + 2 + 7 + 9 + 6 + 616 + 6 + 4 = 666.

It is a super-2 number, since 2×84310279661664² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 330837334 + ... + 331092074.

It is an arithmetic number, because the mean of its divisors is an integer number (332064603486).

Almost surely, 2^{84310279661664} is an apocalyptic number.

84310279661664 is a gapful number since it is divisible by the number (84) 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 84310279661664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159391009673280).

84310279661664 is an abundant number, since it is smaller than the sum of its proper divisors (234471739684896).

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

84310279661664 is a wasteful number, since it uses less digits than its factorization.

84310279661664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254853 (or 254836 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 84310279661664 in words is "eighty-four trillion, three hundred ten billion, two hundred seventy-nine million, six hundred sixty-one thousand, six hundred sixty-four".