7837996840128 has 560 divisors, whose sum is σ = 28636003728640. Its totient is φ = 2064274937856.

The previous prime is 7837996840111. The next prime is 7837996840133. The reversal of 7837996840128 is 8210486997387.

7837996840128 is a `hidden beast` number, since 7 + 8 + 379 + 96 + 8 + 40 + 128 = 666.

It is a super-2 number, since 2×7837996840128² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 79 ways as a sum of consecutive naturals, for example, 348607575 + ... + 348630057.

It is an arithmetic number, because the mean of its divisors is an integer number (51135720944).

Almost surely, 2^{7837996840128} is an apocalyptic number.

7837996840128 is a gapful number since it is divisible by the number (78) 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 7837996840128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14318001864320).

7837996840128 is an abundant number, since it is smaller than the sum of its proper divisors (20798006888512).

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

7837996840128 is a wasteful number, since it uses less digits than its factorization.

7837996840128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23266 (or 23247 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 7837996840128 in words is "seven trillion, eight hundred thirty-seven billion, nine hundred ninety-six million, eight hundred forty thousand, one hundred twenty-eight".