70865383680 has 2160 divisors, whose sum is σ = 337493383920. Its totient is φ = 14046068736.

The previous prime is 70865383679. The next prime is 70865383691. The reversal of 70865383680 is 8638356807.

It is a happy number.

70865383680 is a `hidden beast` number, since 70 + 8 + 6 + 538 + 36 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 49787136 + 70815596544 = 7056^2 + 266112^2 .

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×70865383680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1915280622 + ... + 1915280658.

It is an arithmetic number, because the mean of its divisors is an integer number (156246937).

Almost surely, 2^70865383680 is an apocalyptic number.

70865383680 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 70865383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168746691960).

70865383680 is an abundant number, since it is smaller than the sum of its proper divisors (266628000240).

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

70865383680 is a wasteful number, since it uses less digits than its factorization.

70865383680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 70865383680 in words is "seventy billion, eight hundred sixty-five million, three hundred eighty-three thousand, six hundred eighty".