7746485760 has 640 divisors, whose sum is σ = 30564293760. Its totient is φ = 1847328768.

The previous prime is 7746485759. The next prime is 7746485783. The reversal of 7746485760 is 675846477.

7746485760 is a `hidden beast` number, since 7 + 7 + 4 + 64 + 8 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7746485697 and 7746485706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33246604 + ... + 33246836.

It is an arithmetic number, because the mean of its divisors is an integer number (47756709).

Almost surely, 2^7746485760 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 7746485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15282146880).

7746485760 is an abundant number, since it is smaller than the sum of its proper divisors (22817808000).

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

7746485760 is a wasteful number, since it uses less digits than its factorization.

7746485760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The square root of 7746485760 is about 88014.1225031529. The cubic root of 7746485760 is about 1978.6466417459.

The spelling of 7746485760 in words is "seven billion, seven hundred forty-six million, four hundred eighty-five thousand, seven hundred sixty".