7445688768 has 252 divisors, whose sum is σ = 24932332152. Its totient is φ = 2118251520.

The previous prime is 7445688727. The next prime is 7445688769. The reversal of 7445688768 is 8678865447.

7445688768 is a `hidden beast` number, since 7 + 4 + 4 + 568 + 8 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7445688769) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9341746 + ... + 9342542.

It is an arithmetic number, because the mean of its divisors is an integer number (98937826).

Almost surely, 2^7445688768 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 7445688768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12466166076).

7445688768 is an abundant number, since it is smaller than the sum of its proper divisors (17486643384).

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

7445688768 is a wasteful number, since it uses less digits than its factorization.

7445688768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1140 counting only the distinct ones).

The product of its digits is 72253440, while the sum is 63.

The square root of 7445688768 is about 86288.4045976051. The cubic root of 7445688768 is about 1952.6974518808.

The spelling of 7445688768 in words is "seven billion, four hundred forty-five million, six hundred eighty-eight thousand, seven hundred sixty-eight".