7646770560 has 256 divisors, whose sum is σ = 28636312320. Its totient is φ = 1711104000.

The previous prime is 7646770543. The next prime is 7646770567. The reversal of 7646770560 is 650776467.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7646770567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260635 + ... + 288485.

It is an arithmetic number, because the mean of its divisors is an integer number (111860595).

Almost surely, 2^7646770560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7646770560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14318156160).

7646770560 is an abundant number, since it is smaller than the sum of its proper divisors (20989541760).

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

7646770560 is a wasteful number, since it uses less digits than its factorization.

7646770560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27897 (or 27885 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 48.

The square root of 7646770560 is about 87445.8149942008. The cubic root of 7646770560 is about 1970.1200301349.

The spelling of 7646770560 in words is "seven billion, six hundred forty-six million, seven hundred seventy thousand, five hundred sixty".