7468331520 has 640 divisors, whose sum is σ = 28158197760. Its totient is φ = 1672151040.

The previous prime is 7468331491. The next prime is 7468331531. The reversal of 7468331520 is 251338647.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 58805697 + ... + 58805823.

It is an arithmetic number, because the mean of its divisors is an integer number (43997184).

Almost surely, 2^7468331520 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 7468331520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14079098880).

7468331520 is an abundant number, since it is smaller than the sum of its proper divisors (20689866240).

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

7468331520 is a wasteful number, since it uses less digits than its factorization.

7468331520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 7468331520 is about 86419.5089085792. The cubic root of 7468331520 is about 1954.6748691287.

The spelling of 7468331520 in words is "seven billion, four hundred sixty-eight million, three hundred thirty-one thousand, five hundred twenty".