706290278400 has 1344 divisors, whose sum is σ = 3018959631360. Its totient is φ = 158544691200.

The previous prime is 706290278399. The next prime is 706290278413. The reversal of 706290278400 is 4872092607.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2748211072 + ... + 2748211328.

Almost surely, 2^706290278400 is an apocalyptic number.

706290278400 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 706290278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509479815680).

706290278400 is an abundant number, since it is smaller than the sum of its proper divisors (2312669352960).

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

706290278400 is a wasteful number, since it uses less digits than its factorization.

706290278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 706290278400 in words is "seven hundred six billion, two hundred ninety million, two hundred seventy-eight thousand, four hundred".