70920105984 has 936 divisors, whose sum is σ = 270841640160. Its totient is φ = 18059231232.

The previous prime is 70920105889. The next prime is 70920105989. The reversal of 70920105984 is 48950102907.

It is a tau number, because it is divible by the number of its divisors (936).

It is a super-2 number, since 2×70920105984² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70920105989) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 2445520882 + ... + 2445520910.

Almost surely, 2^70920105984 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 70920105984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135420820080).

70920105984 is an abundant number, since it is smaller than the sum of its proper divisors (199921534176).

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

70920105984 is an frugal number, since it uses more digits than its factorization.

70920105984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 70920105984 in words is "seventy billion, nine hundred twenty million, one hundred five thousand, nine hundred eighty-four".