7412858880 has 480 divisors, whose sum is σ = 28184862720. Its totient is φ = 1627914240.

The previous prime is 7412858837. The next prime is 7412858951. The reversal of 7412858880 is 888582147.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53329851 + ... + 53329989.

It is an arithmetic number, because the mean of its divisors is an integer number (58718464).

Almost surely, 2^7412858880 is an apocalyptic number.

7412858880 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 7412858880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14092431360).

7412858880 is an abundant number, since it is smaller than the sum of its proper divisors (20772003840).

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

7412858880 is a wasteful number, since it uses less digits than its factorization.

7412858880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 51.

The square root of 7412858880 is about 86097.9609514650. The cubic root of 7412858880 is about 1949.8232476216.

The spelling of 7412858880 in words is "seven billion, four hundred twelve million, eight hundred fifty-eight thousand, eight hundred eighty".