70681248000 has 1440 divisors, whose sum is σ = 299091881088. Its totient is φ = 16422912000.

The previous prime is 70681247981. The next prime is 70681248013. The reversal of 70681248000 is 84218607.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 159 ways as a sum of consecutive naturals, for example, 1054943967 + ... + 1054944033.

Almost surely, 2^70681248000 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 70681248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149545940544).

70681248000 is an abundant number, since it is smaller than the sum of its proper divisors (228410633088).

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

70681248000 is a wasteful number, since it uses less digits than its factorization.

70681248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 70681248000 in words is "seventy billion, six hundred eighty-one million, two hundred forty-eight thousand".