7349980800 has 96 divisors (see below), whose sum is σ = 24209030880. Its totient is φ = 1959992320.

The previous prime is 7349980793. The next prime is 7349980817. The reversal of 7349980800 is 80899437.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7349980800.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 373212 + ... + 392411.

It is an arithmetic number, because the mean of its divisors is an integer number (252177405).

Almost surely, 2^7349980800 is an apocalyptic number.

It is an amenable number.

7349980800 is an abundant number, since it is smaller than the sum of its proper divisors (16859050080).

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

7349980800 is a wasteful number, since it uses less digits than its factorization.

7349980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765650 (or 765633 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 7349980800 is about 85732.0290206641. The cubic root of 7349980800 is about 1944.2945920132.

The spelling of 7349980800 in words is "seven billion, three hundred forty-nine million, nine hundred eighty thousand, eight hundred".