7264903680 has 480 divisors, whose sum is σ = 26542676160. Its totient is φ = 1833861120.

The previous prime is 7264903673. The next prime is 7264903691. The reversal of 7264903680 is 863094627.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55457215 + ... + 55457345.

It is an arithmetic number, because the mean of its divisors is an integer number (55297242).

Almost surely, 2^7264903680 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 7264903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13271338080).

7264903680 is an abundant number, since it is smaller than the sum of its proper divisors (19277772480).

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

7264903680 is a wasteful number, since it uses less digits than its factorization.

7264903680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 7264903680 is about 85234.4043212599. The cubic root of 7264903680 is about 1936.7636265419.

The spelling of 7264903680 in words is "seven billion, two hundred sixty-four million, nine hundred three thousand, six hundred eighty".