7903500272640 has 3168 divisors, whose sum is σ = 35970067411200. Its totient is φ = 1625330810880.

The previous prime is 7903500272581. The next prime is 7903500272641. The reversal of 7903500272640 is 462720053097.

7903500272640 is a `hidden beast` number, since 79 + 0 + 3 + 500 + 2 + 72 + 6 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7903500272641) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 129565578210 + ... + 129565578270.

Almost surely, 2^{7903500272640} is an apocalyptic number.

7903500272640 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 7903500272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17985033705600).

7903500272640 is an abundant number, since it is smaller than the sum of its proper divisors (28066567138560).

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

7903500272640 is an equidigital number, since it uses as much as digits as its factorization.

7903500272640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 7903500272640 in words is "seven trillion, nine hundred three billion, five hundred million, two hundred seventy-two thousand, six hundred forty".