70672351680 has 336 divisors, whose sum is σ = 286773786624. Its totient is φ = 15632455680.

The previous prime is 70672351661. The next prime is 70672351681. The reversal of 70672351680 is 8615327607.

70672351680 is a `hidden beast` number, since 70 + 67 + 2 + 3 + 516 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70672351681) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 568419 + ... + 681501.

Almost surely, 2^70672351680 is an apocalyptic number.

70672351680 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 70672351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143386893312).

70672351680 is an abundant number, since it is smaller than the sum of its proper divisors (216101434944).

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

70672351680 is a wasteful number, since it uses less digits than its factorization.

70672351680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113144 (or 113131 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 70672351680 in words is "seventy billion, six hundred seventy-two million, three hundred fifty-one thousand, six hundred eighty".