7646745600 has 1056 divisors, whose sum is σ = 32408759040. Its totient is φ = 1751777280.

The previous prime is 7646745569. The next prime is 7646745629. The reversal of 7646745600 is 65476467.

It is a happy number.

It is a super-2 number, since 2×7646745600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 206668782 + ... + 206668818.

Almost surely, 2^7646745600 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 7646745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16204379520).

7646745600 is an abundant number, since it is smaller than the sum of its proper divisors (24762013440).

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

7646745600 is a wasteful number, since it uses less digits than its factorization.

7646745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 7646745600 is about 87445.6722771344. The cubic root of 7646745600 is about 1970.1178865612.

The spelling of 7646745600 in words is "seven billion, six hundred forty-six million, seven hundred forty-five thousand, six hundred".