7516081440 has 576 divisors, whose sum is σ = 30795448320. Its totient is φ = 1633167360.

The previous prime is 7516081439. The next prime is 7516081453. The reversal of 7516081440 is 441806157.

It is a happy number.

7516081440 is a `hidden beast` number, since 7 + 5 + 1 + 608 + 1 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7516081395 and 7516081404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20935981 + ... + 20936339.

It is an arithmetic number, because the mean of its divisors is an integer number (53464320).

Almost surely, 2^7516081440 is an apocalyptic number.

7516081440 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 7516081440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15397724160).

7516081440 is an abundant number, since it is smaller than the sum of its proper divisors (23279366880).

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

7516081440 is a wasteful number, since it uses less digits than its factorization.

7516081440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 7516081440 is about 86695.3368988206. The cubic root of 7516081440 is about 1958.8318598181.

Adding to 7516081440 its reverse (441806157), we get a palindrome (7957887597).

The spelling of 7516081440 in words is "seven billion, five hundred sixteen million, eighty-one thousand, four hundred forty".