7407106560 has 660 divisors, whose sum is σ = 30988681218. Its totient is φ = 1693052928.

The previous prime is 7407106541. The next prime is 7407106571. The reversal of 7407106560 is 656017047.

It can be written as a sum of positive squares in only one way, i.e., 6666395904 + 740710656 = 81648^2 + 27216^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 1058158077 + ... + 1058158083.

Almost surely, 2^7407106560 is an apocalyptic number.

7407106560 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 7407106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15494340609).

7407106560 is an abundant number, since it is smaller than the sum of its proper divisors (23581574658).

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

7407106560 is an frugal number, since it uses more digits than its factorization.

7407106560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 7407106560 is about 86064.5487991426. The cubic root of 7407106560 is about 1949.3187679566.

The spelling of 7407106560 in words is "seven billion, four hundred seven million, one hundred six thousand, five hundred sixty".