7906132510848 has 2048 divisors, whose sum is σ = 30000557260800. Its totient is φ = 2039725670400.

The previous prime is 7906132510819. The next prime is 7906132510853. The reversal of 7906132510848 is 8480152316097.

7906132510848 is a `hidden beast` number, since 7 + 9 + 0 + 613 + 2 + 5 + 10 + 8 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7906132510794 and 7906132510803.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 28541994486 + ... + 28541994762.

It is an arithmetic number, because the mean of its divisors is an integer number (14648709600).

It is a 1-persistent number, because it is pandigital, but 2⋅7906132510848 = 15812265021696 is not.

Almost surely, 2^{7906132510848} is an apocalyptic number.

7906132510848 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 7906132510848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15000278630400).

7906132510848 is an abundant number, since it is smaller than the sum of its proper divisors (22094424749952).

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

7906132510848 is a wasteful number, since it uses less digits than its factorization.

7906132510848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 7906132510848 in words is "seven trillion, nine hundred six billion, one hundred thirty-two million, five hundred ten thousand, eight hundred forty-eight".