7467872328 has 256 divisors, whose sum is σ = 25104384000. Its totient is φ = 2009318400.

The previous prime is 7467872311. The next prime is 7467872351. The reversal of 7467872328 is 8232787647.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 5486368 + ... + 5487728.

It is an arithmetic number, because the mean of its divisors is an integer number (98064000).

Almost surely, 2^7467872328 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 7467872328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12552192000).

7467872328 is an abundant number, since it is smaller than the sum of its proper divisors (17636511672).

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

7467872328 is a wasteful number, since it uses less digits than its factorization.

7467872328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1583 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 54.

The square root of 7467872328 is about 86416.8521065191. The cubic root of 7467872328 is about 1954.6348071034.

The spelling of 7467872328 in words is "seven billion, four hundred sixty-seven million, eight hundred seventy-two thousand, three hundred twenty-eight".