7267553664 has 256 divisors, whose sum is σ = 22665216000. Its totient is φ = 2020515840.

The previous prime is 7267553651. The next prime is 7267553719. The reversal of 7267553664 is 4663557627.

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, 20823762 + ... + 20824110.

It is an arithmetic number, because the mean of its divisors is an integer number (88536000).

Almost surely, 2^7267553664 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 7267553664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11332608000).

7267553664 is an abundant number, since it is smaller than the sum of its proper divisors (15397662336).

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

7267553664 is a wasteful number, since it uses less digits than its factorization.

7267553664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 549 counting only the distinct ones).

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

The square root of 7267553664 is about 85249.9481759373. The cubic root of 7267553664 is about 1936.9990859018. Note that the first 3 decimals are identical.

The spelling of 7267553664 in words is "seven billion, two hundred sixty-seven million, five hundred fifty-three thousand, six hundred sixty-four".