84982697662464 has 1728 divisors, whose sum is σ = 307081448593920. Its totient is φ = 22986821468160.

The previous prime is 84982697662417. The next prime is 84982697662483. The reversal of 84982697662464 is 46426679628948.

84982697662464 is a `hidden beast` number, since 8 + 4 + 9 + 8 + 2 + 6 + 97 + 6 + 62 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 352625301384 + ... + 352625301624.

It is an arithmetic number, because the mean of its divisors is an integer number (177709171640).

Almost surely, 2^{84982697662464} is an apocalyptic number.

84982697662464 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 84982697662464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153540724296960).

84982697662464 is an abundant number, since it is smaller than the sum of its proper divisors (222098750931456).

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

84982697662464 is an equidigital number, since it uses as much as digits as its factorization.

84982697662464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 439 counting only the distinct ones).

The product of its digits is 12039487488, while the sum is 81.

The spelling of 84982697662464 in words is "eighty-four trillion, nine hundred eighty-two billion, six hundred ninety-seven million, six hundred sixty-two thousand, four hundred sixty-four".