7226691262560 has 1152 divisors, whose sum is σ = 31457248542720. Its totient is φ = 1467312537600.

The previous prime is 7226691262537. The next prime is 7226691262577. The reversal of 7226691262560 is 652621966227.

7226691262560 is a `hidden beast` number, since 7 + 2 + 2 + 6 + 6 + 9 + 1 + 2 + 625 + 6 + 0 = 666.

It is a super-2 number, since 2×7226691262560² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7226691262497 and 7226691262506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 882268065 + ... + 882276255.

It is an arithmetic number, because the mean of its divisors is an integer number (27306639360).

Almost surely, 2^{7226691262560} is an apocalyptic number.

7226691262560 is a gapful number since it is divisible by the number (70) 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 7226691262560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15728624271360).

7226691262560 is an abundant number, since it is smaller than the sum of its proper divisors (24230557280160).

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

7226691262560 is a wasteful number, since it uses less digits than its factorization.

7226691262560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8412 (or 8401 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 7226691262560 in words is "seven trillion, two hundred twenty-six billion, six hundred ninety-one million, two hundred sixty-two thousand, five hundred sixty".