7487979840 has 504 divisors, whose sum is σ = 28975763232. Its totient is φ = 1760040960.

The previous prime is 7487979833. The next prime is 7487979841. The reversal of 7487979840 is 489797847.

It is a happy number.

7487979840 is a `hidden beast` number, since 7 + 487 + 9 + 79 + 84 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7487979841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69981067 + ... + 69981173.

Almost surely, 2^7487979840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7487979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14487881616).

7487979840 is an abundant number, since it is smaller than the sum of its proper divisors (21487783392).

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

7487979840 is a wasteful number, since it uses less digits than its factorization.

7487979840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The square root of 7487979840 is about 86533.1141240161. The cubic root of 7487979840 is about 1956.3875428679.

The spelling of 7487979840 in words is "seven billion, four hundred eighty-seven million, nine hundred seventy-nine thousand, eight hundred forty".