7416464328 has 320 divisors, whose sum is σ = 25749884160. Its totient is φ = 1942009344.

The previous prime is 7416464309. The next prime is 7416464347. The reversal of 7416464328 is 8234646147.

It is an interprime number because it is at equal distance from previous prime (7416464309) and next prime (7416464347).

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 79 ways as a sum of consecutive naturals, for example, 10201101 + ... + 10201827.

It is an arithmetic number, because the mean of its divisors is an integer number (80468388).

Almost surely, 2^7416464328 is an apocalyptic number.

7416464328 is a gapful number since it is divisible by the number (78) 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 7416464328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12874942080).

7416464328 is an abundant number, since it is smaller than the sum of its proper divisors (18333419832).

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

7416464328 is a wasteful number, since it uses less digits than its factorization.

7416464328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 925 counting only the distinct ones).

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

The square root of 7416464328 is about 86118.8964629715. The cubic root of 7416464328 is about 1950.1393131238.

The spelling of 7416464328 in words is "seven billion, four hundred sixteen million, four hundred sixty-four thousand, three hundred twenty-eight".