7713496410048 has 1344 divisors, whose sum is σ = 28597451811840. Its totient is φ = 2013924556800.

The previous prime is 7713496410043. The next prime is 7713496410089. The reversal of 7713496410048 is 8400146943177.

It is a happy number.

7713496410048 is a `hidden beast` number, since 7 + 7 + 1 + 3 + 496 + 4 + 100 + 48 = 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 = 7713496409976 and 7713496410003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7713496410043) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7481567293 + ... + 7481568323.

Almost surely, 2^{7713496410048} is an apocalyptic number.

7713496410048 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 7713496410048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14298725905920).

7713496410048 is an abundant number, since it is smaller than the sum of its proper divisors (20883955401792).

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

7713496410048 is a wasteful number, since it uses less digits than its factorization.

7713496410048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 7713496410048 in words is "seven trillion, seven hundred thirteen billion, four hundred ninety-six million, four hundred ten thousand, forty-eight".