700825009248 has 1728 divisors, whose sum is σ = 2838577996800. Its totient is φ = 165280186368.

The previous prime is 700825009243. The next prime is 700825009301. The reversal of 700825009248 is 842900528007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (700825009243) 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 287 ways as a sum of consecutive naturals, for example, 4703523478 + ... + 4703523626.

It is an arithmetic number, because the mean of its divisors is an integer number (1642695600).

Almost surely, 2^700825009248 is an apocalyptic number.

700825009248 is a gapful number since it is divisible by the number (78) 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 700825009248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419288998400).

700825009248 is an abundant number, since it is smaller than the sum of its proper divisors (2137752987552).

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

700825009248 is a wasteful number, since it uses less digits than its factorization.

700825009248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 700825009248 in words is "seven hundred billion, eight hundred twenty-five million, nine thousand, two hundred forty-eight".