7649267226552 has 256 divisors, whose sum is σ = 24540790579200. Its totient is φ = 2162351738880.

The previous prime is 7649267226529. The next prime is 7649267226569. The reversal of 7649267226552 is 2556227629467.

7649267226552 is a `hidden beast` number, since 7 + 6 + 4 + 9 + 2 + 6 + 72 + 2 + 6 + 552 = 666.

It is a super-2 number, since 2×7649267226552² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 7649267226552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 802393978 + ... + 802403510.

It is an arithmetic number, because the mean of its divisors is an integer number (95862463200).

Almost surely, 2^{7649267226552} is an apocalyptic number.

7649267226552 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 7649267226552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12270395289600).

7649267226552 is an abundant number, since it is smaller than the sum of its proper divisors (16891523352648).

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

7649267226552 is a wasteful number, since it uses less digits than its factorization.

7649267226552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15123 (or 15113 counting only the distinct ones).

The product of its digits is 152409600, while the sum is 63.

The spelling of 7649267226552 in words is "seven trillion, six hundred forty-nine billion, two hundred sixty-seven million, two hundred twenty-six thousand, five hundred fifty-two".