70963845120 has 768 divisors, whose sum is σ = 296381030400. Its totient is φ = 15765995520.

The previous prime is 70963845061. The next prime is 70963845187. The reversal of 70963845120 is 2154836907.

70963845120 is a `hidden beast` number, since 7 + 0 + 9 + 638 + 4 + 5 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71607825 + ... + 71608815.

It is an arithmetic number, because the mean of its divisors is an integer number (385912800).

It is a 1-persistent number, because it is pandigital, but 2⋅70963845120 = 141927690240 is not.

Almost surely, 2^70963845120 is an apocalyptic number.

70963845120 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 70963845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148190515200).

70963845120 is an abundant number, since it is smaller than the sum of its proper divisors (225417185280).

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

70963845120 is a wasteful number, since it uses less digits than its factorization.

70963845120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 70963845120 in words is "seventy billion, nine hundred sixty-three million, eight hundred forty-five thousand, one hundred twenty".