7912487835648 has 1152 divisors, whose sum is σ = 27474370560000. Its totient is φ = 2249879224320.

The previous prime is 7912487835599. The next prime is 7912487835649. The reversal of 7912487835648 is 8465387842197.

It is a happy number.

7912487835648 is a `hidden beast` number, since 7 + 9 + 1 + 2 + 487 + 83 + 5 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7912487835649) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13209495253 + ... + 13209495851.

It is an arithmetic number, because the mean of its divisors is an integer number (23849280000).

Almost surely, 2^{7912487835648} 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 7912487835648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13737185280000).

7912487835648 is an abundant number, since it is smaller than the sum of its proper divisors (19561882724352).

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

7912487835648 is a wasteful number, since it uses less digits than its factorization.

7912487835648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 761 counting only the distinct ones).

The product of its digits is 650280960, while the sum is 72.

The spelling of 7912487835648 in words is "seven trillion, nine hundred twelve billion, four hundred eighty-seven million, eight hundred thirty-five thousand, six hundred forty-eight".