7349593680 has 1080 divisors, whose sum is σ = 32602957920. Its totient is φ = 1466449920.

The previous prime is 7349593639. The next prime is 7349593709. The reversal of 7349593680 is 863959437.

7349593680 is a `hidden beast` number, since 7 + 3 + 49 + 593 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×7349593680² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 386820711 + ... + 386820729.

It is an arithmetic number, because the mean of its divisors is an integer number (30187924).

Almost surely, 2^7349593680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7349593680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16301478960).

7349593680 is an abundant number, since it is smaller than the sum of its proper divisors (25253364240).

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

7349593680 is a wasteful number, since it uses less digits than its factorization.

7349593680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 7349593680 is about 85729.7712582974. The cubic root of 7349593680 is about 1944.2604563895.

The spelling of 7349593680 in words is "seven billion, three hundred forty-nine million, five hundred ninety-three thousand, six hundred eighty".