7356257664 has 128 divisors (see below), whose sum is σ = 23507001600. Its totient is φ = 1991153664.

The previous prime is 7356257659. The next prime is 7356257677. The reversal of 7356257664 is 4667526537.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×7356257664² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20947 + ... + 123090.

It is an arithmetic number, because the mean of its divisors is an integer number (183648450).

Almost surely, 2^7356257664 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 7356257664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11753500800).

7356257664 is an abundant number, since it is smaller than the sum of its proper divisors (16150743936).

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

7356257664 is a wasteful number, since it uses less digits than its factorization.

7356257664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144080 (or 144068 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 51.

The square root of 7356257664 is about 85768.6286703944. The cubic root of 7356257664 is about 1944.8479086648.

The spelling of 7356257664 in words is "seven billion, three hundred fifty-six million, two hundred fifty-seven thousand, six hundred sixty-four".