706419890400 has 1152 divisors, whose sum is σ = 2914229477376. Its totient is φ = 144919756800.

The previous prime is 706419890387. The next prime is 706419890413. The reversal of 706419890400 is 4098914607.

It is an interprime number because it is at equal distance from previous prime (706419890387) and next prime (706419890413).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 706419890400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 646312254 + ... + 646313346.

It is an arithmetic number, because the mean of its divisors is an integer number (2529713088).

Almost surely, 2^706419890400 is an apocalyptic number.

706419890400 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 706419890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457114738688).

706419890400 is an abundant number, since it is smaller than the sum of its proper divisors (2207809586976).

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

706419890400 is a wasteful number, since it uses less digits than its factorization.

706419890400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 706419890400 in words is "seven hundred six billion, four hundred nineteen million, eight hundred ninety thousand, four hundred".