7541286340 has 96 divisors (see below), whose sum is σ = 18413337600. Its totient is φ = 2541072384.

The previous prime is 7541286307. The next prime is 7541286341. The reversal of 7541286340 is 436821457.

It is a junction number, because it is equal to n+sod(n) for n = 7541286293 and 7541286302.

It is not an unprimeable number, because it can be changed into a prime (7541286341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2021557 + ... + 2025283.

It is an arithmetic number, because the mean of its divisors is an integer number (191805600).

Almost surely, 2^7541286340 is an apocalyptic number.

7541286340 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 7541286340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9206668800).

7541286340 is an abundant number, since it is smaller than the sum of its proper divisors (10872051260).

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

7541286340 is a wasteful number, since it uses less digits than its factorization.

7541286340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3989 (or 3987 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 7541286340 is about 86840.5800303061. The cubic root of 7541286340 is about 1961.0190400613.

The spelling of 7541286340 in words is "seven billion, five hundred forty-one million, two hundred eighty-six thousand, three hundred forty".