7912544640 has 1024 divisors, whose sum is σ = 35533209600. Its totient is φ = 1443594240.

The previous prime is 7912544603. The next prime is 7912544641. The reversal of 7912544640 is 464452197.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 7912544592 and 7912544601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7912544641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44204071 + ... + 44204249.

It is an arithmetic number, because the mean of its divisors is an integer number (34700400).

Almost surely, 2^7912544640 is an apocalyptic number.

7912544640 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 7912544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17766604800).

7912544640 is an abundant number, since it is smaller than the sum of its proper divisors (27620664960).

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

7912544640 is a wasteful number, since it uses less digits than its factorization.

7912544640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 7912544640 is about 88952.4852941164. The cubic root of 7912544640 is about 1992.6853337762.

The spelling of 7912544640 in words is "seven billion, nine hundred twelve million, five hundred forty-four thousand, six hundred forty".