7642956603240 has 384 divisors, whose sum is σ = 28593470880000. Its totient is φ = 1734337142784.

The previous prime is 7642956603221. The next prime is 7642956603343. The reversal of 7642956603240 is 423066592467.

7642956603240 is a `hidden beast` number, since 7 + 6 + 4 + 2 + 9 + 5 + 6 + 603 + 24 + 0 = 666.

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, 953339712 + ... + 953347728.

It is an arithmetic number, because the mean of its divisors is an integer number (74462163750).

Almost surely, 2^{7642956603240} is an apocalyptic number.

7642956603240 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 7642956603240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14296735440000).

7642956603240 is an abundant number, since it is smaller than the sum of its proper divisors (20950514276760).

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

7642956603240 is a wasteful number, since it uses less digits than its factorization.

7642956603240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10729 (or 10722 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 7642956603240 in words is "seven trillion, six hundred forty-two billion, nine hundred fifty-six million, six hundred three thousand, two hundred forty".