70782448000 has 512 divisors, whose sum is σ = 205990387200. Its totient is φ = 23915520000.

The previous prime is 70782447991. The next prime is 70782448103. The reversal of 70782448000 is 84428707.

It is a happy number.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 63 ways as a sum of consecutive naturals, for example, 203983827 + ... + 203984173.

It is an arithmetic number, because the mean of its divisors is an integer number (402324975).

Almost surely, 2^70782448000 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 70782448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102995193600).

70782448000 is an abundant number, since it is smaller than the sum of its proper divisors (135207939200).

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

70782448000 is a wasteful number, since it uses less digits than its factorization.

70782448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 40.

It can be divided in two parts, 7078244 and 8000, that added together give a square (7086244 = 2662²).

The spelling of 70782448000 in words is "seventy billion, seven hundred eighty-two million, four hundred forty-eight thousand".