7657892421912 has 256 divisors, whose sum is σ = 22288585968000. Its totient is φ = 2463339755520.

The previous prime is 7657892421871. The next prime is 7657892421953. The reversal of 7657892421912 is 2191242987567.

7657892421912 is a `hidden beast` number, since 7 + 6 + 578 + 9 + 2 + 42 + 1 + 9 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (7657892421871) and next prime (7657892421953).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 7657892421912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1908269218 + ... + 1908273230.

Almost surely, 2^{7657892421912} is an apocalyptic number.

7657892421912 is a gapful number since it is divisible by the number (72) 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 7657892421912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11144292984000).

7657892421912 is an abundant number, since it is smaller than the sum of its proper divisors (14630693546088).

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

7657892421912 is a wasteful number, since it uses less digits than its factorization.

7657892421912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7830 (or 7808 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The spelling of 7657892421912 in words is "seven trillion, six hundred fifty-seven billion, eight hundred ninety-two million, four hundred twenty-one thousand, nine hundred twelve".