7266013920 has 288 divisors, whose sum is σ = 27334026720. Its totient is φ = 1742929920.

The previous prime is 7266013919. The next prime is 7266013921. The reversal of 7266013920 is 293106627.

7266013920 is a `hidden beast` number, since 7 + 26 + 601 + 3 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (7266013919) and next prime (7266013921).

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7266013921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1534116 + ... + 1538844.

It is an arithmetic number, because the mean of its divisors is an integer number (94909815).

Almost surely, 2^7266013920 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 7266013920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13667013360).

7266013920 is an abundant number, since it is smaller than the sum of its proper divisors (20068012800).

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

7266013920 is a wasteful number, since it uses less digits than its factorization.

7266013920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4858 (or 4847 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 7266013920 is about 85240.9169354718. The cubic root of 7266013920 is about 1936.8622818036.

The spelling of 7266013920 in words is "seven billion, two hundred sixty-six million, thirteen thousand, nine hundred twenty".