84076954988544 has 780 divisors, whose sum is σ = 292549112056344. Its totient is φ = 23990685401088.

The previous prime is 84076954988539. The next prime is 84076954988563. The reversal of 84076954988544 is 44588945967048.

84076954988544 is a `hidden beast` number, since 8 + 4 + 0 + 7 + 6 + 9 + 5 + 498 + 85 + 44 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14354949264 + ... + 14354955120.

Almost surely, 2^{84076954988544} is an apocalyptic number.

84076954988544 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 84076954988544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146274556028172).

84076954988544 is an abundant number, since it is smaller than the sum of its proper divisors (208472157067800).

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

84076954988544 is an equidigital number, since it uses as much as digits as its factorization.

84076954988544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6790 (or 6752 counting only the distinct ones).

The product of its (nonzero) digits is 11147673600, while the sum is 81.

The spelling of 84076954988544 in words is "eighty-four trillion, seventy-six billion, nine hundred fifty-four million, nine hundred eighty-eight thousand, five hundred forty-four".