7513712640 has 576 divisors, whose sum is σ = 31378838400. Its totient is φ = 1624375296.

The previous prime is 7513712627. The next prime is 7513712681. The reversal of 7513712640 is 462173157.

It is a happy number.

7513712640 is a `hidden beast` number, since 7 + 5 + 1 + 3 + 7 + 1 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 7513712595 and 7513712604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12256974 + ... + 12257586.

It is an arithmetic number, because the mean of its divisors is an integer number (54477150).

Almost surely, 2^7513712640 is an apocalyptic number.

7513712640 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 7513712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15689419200).

7513712640 is an abundant number, since it is smaller than the sum of its proper divisors (23865125760).

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

7513712640 is a wasteful number, since it uses less digits than its factorization.

7513712640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 7513712640 is about 86681.6741878005. The cubic root of 7513712640 is about 1958.6260536191.

Adding to 7513712640 its reverse (462173157), we get a palindrome (7975885797).

The spelling of 7513712640 in words is "seven billion, five hundred thirteen million, seven hundred twelve thousand, six hundred forty".