7349826816 has 288 divisors, whose sum is σ = 23115187200. Its totient is φ = 2299207680.

The previous prime is 7349826773. The next prime is 7349826833. The reversal of 7349826816 is 6186289437.

7349826816 is a `hidden beast` number, since 73 + 498 + 2 + 6 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7416081 + ... + 7417071.

Almost surely, 2^7349826816 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 7349826816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11557593600).

7349826816 is an abundant number, since it is smaller than the sum of its proper divisors (15765360384).

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

7349826816 is a wasteful number, since it uses less digits than its factorization.

7349826816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1062 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 7349826816 is about 85731.1309618624. The cubic root of 7349826816 is about 1944.2810140934.

The spelling of 7349826816 in words is "seven billion, three hundred forty-nine million, eight hundred twenty-six thousand, eight hundred sixteen".