7419133680 has 320 divisors, whose sum is σ = 28348185600. Its totient is φ = 1567088640.

The previous prime is 7419133679. The next prime is 7419133703. The reversal of 7419133680 is 863319147.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 1305886 + ... + 1311554.

It is an arithmetic number, because the mean of its divisors is an integer number (88588080).

Almost surely, 2^7419133680 is an apocalyptic number.

7419133680 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 7419133680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14174092800).

7419133680 is an abundant number, since it is smaller than the sum of its proper divisors (20929051920).

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

7419133680 is a wasteful number, since it uses less digits than its factorization.

7419133680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5752 (or 5746 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 7419133680 is about 86134.3931307349. The cubic root of 7419133680 is about 1950.3732513650.

The spelling of 7419133680 in words is "seven billion, four hundred nineteen million, one hundred thirty-three thousand, six hundred eighty".