84975619491840 has 3072 divisors, whose sum is σ = 357748005888000. Its totient is φ = 17205567160320.

The previous prime is 84975619491839. The next prime is 84975619491911. The reversal of 84975619491840 is 4819491657948.

It is a tau number, because it is divible by the number of its divisors (3072).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1023802644439 + ... + 1023802644521.

It is an arithmetic number, because the mean of its divisors is an integer number (116454429000).

Almost surely, 2^{84975619491840} is an apocalyptic number.

84975619491840 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 84975619491840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178874002944000).

84975619491840 is an abundant number, since it is smaller than the sum of its proper divisors (272772386396160).

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

84975619491840 is an equidigital number, since it uses as much as digits as its factorization.

84975619491840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 75.

The spelling of 84975619491840 in words is "eighty-four trillion, nine hundred seventy-five billion, six hundred nineteen million, four hundred ninety-one thousand, eight hundred forty".