7412872320 has 384 divisors, whose sum is σ = 29531399040. Its totient is φ = 1678344192.

The previous prime is 7412872307. The next prime is 7412872361. The reversal of 7412872320 is 232782147.

7412872320 is a `hidden beast` number, since 7 + 412 + 8 + 7 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4555347 + ... + 4556973.

It is an arithmetic number, because the mean of its divisors is an integer number (76904685).

Almost surely, 2^7412872320 is an apocalyptic number.

7412872320 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 7412872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14765699520).

7412872320 is an abundant number, since it is smaller than the sum of its proper divisors (22118526720).

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

7412872320 is a wasteful number, since it uses less digits than its factorization.

7412872320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 7412872320 is about 86098.0390020586. The cubic root of 7412872320 is about 1949.8244260067.

The spelling of 7412872320 in words is "seven billion, four hundred twelve million, eight hundred seventy-two thousand, three hundred twenty".