70081334400 has 768 divisors, whose sum is σ = 290681395200. Its totient is φ = 14416281600.

The previous prime is 70081334383. The next prime is 70081334447. The reversal of 70081334400 is 443318007.

It is a super-3 number, since 3×70081334400³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 95 ways as a sum of consecutive naturals, for example, 83529181 + ... + 83530019.

It is an arithmetic number, because the mean of its divisors is an integer number (378491400).

Almost surely, 2^70081334400 is an apocalyptic number.

70081334400 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 70081334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145340697600).

70081334400 is an abundant number, since it is smaller than the sum of its proper divisors (220600060800).

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

70081334400 is a wasteful number, since it uses less digits than its factorization.

70081334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 70081334400 in words is "seventy billion, eighty-one million, three hundred thirty-four thousand, four hundred".