7986419804160 has 1152 divisors, whose sum is σ = 33571391293440. Its totient is φ = 1782847438848.

The previous prime is 7986419804141. The next prime is 7986419804173. The reversal of 7986419804160 is 614089146897.

7986419804160 is a `hidden beast` number, since 7 + 9 + 86 + 419 + 80 + 4 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 748978989 + ... + 748989651.

It is an arithmetic number, because the mean of its divisors is an integer number (29141832720).

Almost surely, 2^{7986419804160} is an apocalyptic number.

7986419804160 is a gapful number since it is divisible by the number (70) 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 7986419804160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16785695646720).

7986419804160 is an abundant number, since it is smaller than the sum of its proper divisors (25584971489280).

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

7986419804160 is a wasteful number, since it uses less digits than its factorization.

7986419804160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10755 (or 10723 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 7986419804160 in words is "seven trillion, nine hundred eighty-six billion, four hundred nineteen million, eight hundred four thousand, one hundred sixty".