70856311680 has 1536 divisors, whose sum is σ = 324849208320. Its totient is φ = 14332723200.

The previous prime is 70856311667. The next prime is 70856311699. The reversal of 70856311680 is 8611365807.

70856311680 is a `hidden beast` number, since 7 + 0 + 8 + 5 + 631 + 1 + 6 + 8 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 730477392 + ... + 730477488.

It is an arithmetic number, because the mean of its divisors is an integer number (211490370).

Almost surely, 2^70856311680 is an apocalyptic number.

70856311680 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 70856311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162424604160).

70856311680 is an abundant number, since it is smaller than the sum of its proper divisors (253992896640).

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

70856311680 is a wasteful number, since it uses less digits than its factorization.

70856311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 70856311680 in words is "seventy billion, eight hundred fifty-six million, three hundred eleven thousand, six hundred eighty".