7266509380512 has 168 divisors, whose sum is σ = 21458908894500. Its totient is φ = 2421061954560.

The previous prime is 7266509380477. The next prime is 7266509380547. The reversal of 7266509380512 is 2150839056627.

7266509380512 is a `hidden beast` number, since 7 + 2 + 6 + 6 + 509 + 3 + 80 + 51 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (7266509380477) and next prime (7266509380547).

It can be written as a sum of positive squares in 2 ways, for example, as 7247488557456 + 19020823056 = 2692116^2 + 137916^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 51741364 + ... + 51881612.

Almost surely, 2^{7266509380512} is an apocalyptic number.

7266509380512 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7266509380512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10729454447250).

7266509380512 is an abundant number, since it is smaller than the sum of its proper divisors (14192399513988).

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

7266509380512 is a wasteful number, since it uses less digits than its factorization.

7266509380512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142498 (or 142475 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 7266509380512 in words is "seven trillion, two hundred sixty-six billion, five hundred nine million, three hundred eighty thousand, five hundred twelve".