7291463872560 has 640 divisors, whose sum is σ = 26372392058880. Its totient is φ = 1632224563200.

The previous prime is 7291463872559. The next prime is 7291463872573. The reversal of 7291463872560 is 652783641927.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 7291463872494 and 7291463872503.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11030958630 + ... + 11030959290.

It is an arithmetic number, because the mean of its divisors is an integer number (41206862592).

It is a 1-persistent number, because it is pandigital, but 2⋅7291463872560 = 14582927745120 is not.

Almost surely, 2^{7291463872560} is an apocalyptic number.

7291463872560 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 7291463872560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13186196029440).

7291463872560 is an abundant number, since it is smaller than the sum of its proper divisors (19080928186320).

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

7291463872560 is a wasteful number, since it uses less digits than its factorization.

7291463872560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 7291463872560 in words is "seven trillion, two hundred ninety-one billion, four hundred sixty-three million, eight hundred seventy-two thousand, five hundred sixty".