7233468480 has 672 divisors, whose sum is σ = 30008998656. Its totient is φ = 1624375296.

The previous prime is 7233468443. The next prime is 7233468523. The reversal of 7233468480 is 848643327.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52798972 + ... + 52799108.

It is an arithmetic number, because the mean of its divisors is an integer number (44656248).

Almost surely, 2^7233468480 is an apocalyptic number.

7233468480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7233468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15004499328).

7233468480 is an abundant number, since it is smaller than the sum of its proper divisors (22775530176).

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

7233468480 is a wasteful number, since it uses less digits than its factorization.

7233468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 7233468480 is about 85049.7999997648. The cubic root of 7233468480 is about 1933.9661323989.

The spelling of 7233468480 in words is "seven billion, two hundred thirty-three million, four hundred sixty-eight thousand, four hundred eighty".