7746414672 has 80 divisors (see below), whose sum is σ = 20368160640. Its totient is φ = 2536396800.

The previous prime is 7746414671. The next prime is 7746414679. The reversal of 7746414672 is 2764146477.

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 (7746414671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 953604 + ... + 961692.

It is an arithmetic number, because the mean of its divisors is an integer number (254602008).

Almost surely, 2^7746414672 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 7746414672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10184080320).

7746414672 is an abundant number, since it is smaller than the sum of its proper divisors (12621745968).

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

7746414672 is a wasteful number, since it uses less digits than its factorization.

7746414672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8452 (or 8446 counting only the distinct ones).

The product of its digits is 1580544, while the sum is 48.

The square root of 7746414672 is about 88013.7186579456. The cubic root of 7746414672 is about 1978.6405891750.

The spelling of 7746414672 in words is "seven billion, seven hundred forty-six million, four hundred fourteen thousand, six hundred seventy-two".