7468768944 has 600 divisors, whose sum is σ = 27658073520. Its totient is φ = 1928199168.

The previous prime is 7468768939. The next prime is 7468768981. The reversal of 7468768944 is 4498678647.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 68520762 + ... + 68520870.

Almost surely, 2^7468768944 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 7468768944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13829036760).

7468768944 is an abundant number, since it is smaller than the sum of its proper divisors (20189304576).

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

7468768944 is a wasteful number, since it uses less digits than its factorization.

7468768944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 217 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The square root of 7468768944 is about 86422.0396889590. The cubic root of 7468768944 is about 1954.7130304862.

The spelling of 7468768944 in words is "seven billion, four hundred sixty-eight million, seven hundred sixty-eight thousand, nine hundred forty-four".