7905619680 has 384 divisors, whose sum is σ = 29173229568. Its totient is φ = 1762394112.

The previous prime is 7905619679. The next prime is 7905619681. The reversal of 7905619680 is 869165097.

It is an interprime number because it is at equal distance from previous prime (7905619679) and next prime (7905619681).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7905619681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40961664 + ... + 40961856.

It is an arithmetic number, because the mean of its divisors is an integer number (75971952).

Almost surely, 2^7905619680 is an apocalyptic number.

7905619680 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 7905619680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14586614784).

7905619680 is an abundant number, since it is smaller than the sum of its proper divisors (21267609888).

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

7905619680 is a wasteful number, since it uses less digits than its factorization.

7905619680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The square root of 7905619680 is about 88913.5517230079. The cubic root of 7905619680 is about 1992.1038396862.

The spelling of 7905619680 in words is "seven billion, nine hundred five million, six hundred nineteen thousand, six hundred eighty".