7926806981952 has 336 divisors, whose sum is σ = 24724272867840. Its totient is φ = 2513247948288.

The previous prime is 7926806981867. The next prime is 7926806981957. The reversal of 7926806981952 is 2591896086297.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7926806981957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63965683 + ... + 64089485.

It is an arithmetic number, because the mean of its divisors is an integer number (73584145440).

Almost surely, 2^{7926806981952} is an apocalyptic number.

7926806981952 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 7926806981952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12362136433920).

7926806981952 is an abundant number, since it is smaller than the sum of its proper divisors (16797465885888).

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

7926806981952 is a wasteful number, since it uses less digits than its factorization.

7926806981952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124032 (or 124010 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 7926806981952 in words is "seven trillion, nine hundred twenty-six billion, eight hundred six million, nine hundred eighty-one thousand, nine hundred fifty-two".