7287926547456 has 297 divisors, whose sum is σ = 21440873588979. Its totient is φ = 2384300851200.

The previous prime is 7287926547439. The next prime is 7287926547457. The reversal of 7287926547456 is 6547456297827.

The square root of 7287926547456 is 2699616.

It is a perfect power (a square), and thus also a powerful number.

7287926547456 is a `hidden beast` number, since 7 + 2 + 8 + 7 + 9 + 26 + 547 + 4 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3660273017856 + 3627653529600 = 1913184^2 + 1904640^2 .

It is a super-2 number, since 2×7287926547456² (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 not an unprimeable number, because it can be changed into a prime (7287926547457) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15808951066 + ... + 15808951526.

Almost surely, 2^{7287926547456} is an apocalyptic number.

7287926547456 is the 2699616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7287926547456

7287926547456 is an abundant number, since it is smaller than the sum of its proper divisors (14152947041523).

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

7287926547456 is an frugal number, since it uses more digits than its factorization.

7287926547456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 527 counting only the distinct ones).

The product of its digits is 1422489600, while the sum is 72.

The spelling of 7287926547456 in words is "seven trillion, two hundred eighty-seven billion, nine hundred twenty-six million, five hundred forty-seven thousand, four hundred fifty-six".