706390249950 has 1152 divisors, whose sum is σ = 2547981204480. Its totient is φ = 143434368000.

The previous prime is 706390249849. The next prime is 706390249973. The reversal of 706390249950 is 59942093607.

706390249950 is a `hidden beast` number, since 7 + 0 + 6 + 390 + 249 + 9 + 5 + 0 = 666.

706390249950 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 6251241094 + ... + 6251241206.

It is an arithmetic number, because the mean of its divisors is an integer number (2211789240).

Almost surely, 2^706390249950 is an apocalyptic number.

706390249950 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 706390249950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273990602240).

706390249950 is an abundant number, since it is smaller than the sum of its proper divisors (1841590954530).

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

706390249950 is a wasteful number, since it uses less digits than its factorization.

706390249950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 706390249950 in words is "seven hundred six billion, three hundred ninety million, two hundred forty-nine thousand, nine hundred fifty".