7266956938560 has 1680 divisors, whose sum is σ = 30061876432896. Its totient is φ = 1662363648000.

The previous prime is 7266956938559. The next prime is 7266956938627. The reversal of 7266956938560 is 658396596627.

7266956938560 is a `hidden beast` number, since 7 + 2 + 6 + 6 + 9 + 56 + 9 + 3 + 8 + 560 = 666.

It is a super-2 number, since 2×7266956938560² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3986261809 + ... + 3986263631.

Almost surely, 2^{7266956938560} 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 7266956938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15030938216448).

7266956938560 is an abundant number, since it is smaller than the sum of its proper divisors (22794919494336).

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

7266956938560 is a wasteful number, since it uses less digits than its factorization.

7266956938560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 881798400, while the sum is 72.

The spelling of 7266956938560 in words is "seven trillion, two hundred sixty-six billion, nine hundred fifty-six million, nine hundred thirty-eight thousand, five hundred sixty".