7540268222448 has 320 divisors, whose sum is σ = 23536293580800. Its totient is φ = 2297457976320.

The previous prime is 7540268222437. The next prime is 7540268222489. The reversal of 7540268222448 is 8442228620457.

It is a happy number.

7540268222448 is a `hidden beast` number, since 7 + 5 + 402 + 6 + 8 + 2 + 224 + 4 + 8 = 666.

It is a super-2 number, since 2×7540268222448² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 7540268222394 and 7540268222403.

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, 352387686 + ... + 352409082.

It is an arithmetic number, because the mean of its divisors is an integer number (73550917440).

Almost surely, 2^{7540268222448} is an apocalyptic number.

7540268222448 is a gapful number since it is divisible by the number (78) 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 7540268222448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11768146790400).

7540268222448 is an abundant number, since it is smaller than the sum of its proper divisors (15996025358352).

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

7540268222448 is a wasteful number, since it uses less digits than its factorization.

7540268222448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22037 (or 22025 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 54.

The spelling of 7540268222448 in words is "seven trillion, five hundred forty billion, two hundred sixty-eight million, two hundred twenty-two thousand, four hundred forty-eight".