7720465858560 has 2112 divisors, whose sum is σ = 35175773767680. Its totient is φ = 1522029035520.

The previous prime is 7720465858493. The next prime is 7720465858561. The reversal of 7720465858560 is 658585640277.

7720465858560 is a `hidden beast` number, since 7 + 7 + 2 + 0 + 4 + 65 + 8 + 5 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (7720465858561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 249047285745 + ... + 249047285775.

Almost surely, 2^{7720465858560} is an apocalyptic number.

7720465858560 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 7720465858560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17587886883840).

7720465858560 is an abundant number, since it is smaller than the sum of its proper divisors (27455307909120).

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

7720465858560 is an equidigital number, since it uses as much as digits as its factorization.

7720465858560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 112896000, while the sum is 63.

The spelling of 7720465858560 in words is "seven trillion, seven hundred twenty billion, four hundred sixty-five million, eight hundred fifty-eight thousand, five hundred sixty".