7468941312 has 408 divisors, whose sum is σ = 25954155136. Its totient is φ = 2102132736.

The previous prime is 7468941281. The next prime is 7468941343. The reversal of 7468941312 is 2131498647.

It is an interprime number because it is at equal distance from previous prime (7468941281) and next prime (7468941343).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111476703 + ... + 111476769.

Almost surely, 2^7468941312 is an apocalyptic number.

7468941312 is a gapful number since it is divisible by the number (72) 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 7468941312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12977077568).

7468941312 is an abundant number, since it is smaller than the sum of its proper divisors (18485213824).

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

7468941312 is an frugal number, since it uses more digits than its factorization.

7468941312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 79 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 7468941312 is about 86423.0369288189. The cubic root of 7468941312 is about 1954.7280676535.

The spelling of 7468941312 in words is "seven billion, four hundred sixty-eight million, nine hundred forty-one thousand, three hundred twelve".