70100749761042 has 512 divisors, whose sum is σ = 201126739968000. Its totient is φ = 15684522946560.

The previous prime is 70100749761037. The next prime is 70100749761079. The reversal of 70100749761042 is 24016794700107.

It is a happy number.

70100749761042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 70100749760982 and 70100749761000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3957578778 + ... + 3957596490.

It is an arithmetic number, because the mean of its divisors is an integer number (392825664000).

Almost surely, 2^{70100749761042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70100749761042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100563369984000).

70100749761042 is an abundant number, since it is smaller than the sum of its proper divisors (131025990206958).

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

70100749761042 is a wasteful number, since it uses less digits than its factorization.

70100749761042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18286.

The product of its (nonzero) digits is 592704, while the sum is 48.

The spelling of 70100749761042 in words is "seventy trillion, one hundred billion, seven hundred forty-nine million, seven hundred sixty-one thousand, forty-two".