7476648960 has 704 divisors, whose sum is σ = 29288148480. Its totient is φ = 1604321280.

The previous prime is 7476648929. The next prime is 7476648967. The reversal of 7476648960 is 698466747.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 7476648960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7476648967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54574012 + ... + 54574148.

Almost surely, 2^7476648960 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 7476648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14644074240).

7476648960 is an abundant number, since it is smaller than the sum of its proper divisors (21811499520).

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

7476648960 is a wasteful number, since it uses less digits than its factorization.

7476648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 57.

The square root of 7476648960 is about 86467.6179850006. The cubic root of 7476648960 is about 1955.4002368225.

The spelling of 7476648960 in words is "seven billion, four hundred seventy-six million, six hundred forty-eight thousand, nine hundred sixty".