7540532397360 has 840 divisors, whose sum is σ = 27505053282672. Its totient is φ = 1921312742400.

The previous prime is 7540532397311. The next prime is 7540532397371. The reversal of 7540532397360 is 637932350457.

7540532397360 is a `hidden beast` number, since 7 + 5 + 4 + 0 + 532 + 39 + 73 + 6 + 0 = 666.

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 = 7540532397297 and 7540532397306.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 4651777350 + ... + 4651778970.

Almost surely, 2^{7540532397360} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7540532397360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13752526641336).

7540532397360 is an abundant number, since it is smaller than the sum of its proper divisors (19964520885312).

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

7540532397360 is a wasteful number, since it uses less digits than its factorization.

7540532397360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 54.

The spelling of 7540532397360 in words is "seven trillion, five hundred forty billion, five hundred thirty-two million, three hundred ninety-seven thousand, three hundred sixty".