1472868768 has 144 divisors (see below), whose sum is σ = 4544092224. Its totient is φ = 409190400.

The previous prime is 1472868767. The next prime is 1472868769. The reversal of 1472868768 is 8678682741.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1472868767) and next prime (1472868769).

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

It is not an unprimeable number, because it can be changed into a prime (1472868767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 919168 + ... + 920768.

It is an arithmetic number, because the mean of its divisors is an integer number (31556196).

Almost surely, 2^1472868768 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 1472868768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272046112).

1472868768 is an abundant number, since it is smaller than the sum of its proper divisors (3071223456).

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

1472868768 is a wasteful number, since it uses less digits than its factorization.

1472868768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1650 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 57.

The square root of 1472868768 is about 38377.9724321127. The cubic root of 1472868768 is about 1137.7705396517.

The spelling of 1472868768 in words is "one billion, four hundred seventy-two million, eight hundred sixty-eight thousand, seven hundred sixty-eight".