7271807664 has 240 divisors, whose sum is σ = 22342569984. Its totient is φ = 2028533760.

The previous prime is 7271807663. The next prime is 7271807687. The reversal of 7271807664 is 4667081727.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7271807663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4639809 + ... + 4641375.

Almost surely, 2^7271807664 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 7271807664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11171284992).

7271807664 is an abundant number, since it is smaller than the sum of its proper divisors (15070762320).

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

7271807664 is a wasteful number, since it uses less digits than its factorization.

7271807664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The square root of 7271807664 is about 85274.8946877098. The cubic root of 7271807664 is about 1937.3769474344.

The spelling of 7271807664 in words is "seven billion, two hundred seventy-one million, eight hundred seven thousand, six hundred sixty-four".