70690838400 has 1728 divisors, whose sum is σ = 331087454880. Its totient is φ = 14511882240.

The previous prime is 70690838389. The next prime is 70690838401. The reversal of 70690838400 is 483809607.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1728).

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 (70690838401) 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 215 ways as a sum of consecutive naturals, for example, 1910563182 + ... + 1910563218.

Almost surely, 2^70690838400 is an apocalyptic number.

70690838400 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 70690838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165543727440).

70690838400 is an abundant number, since it is smaller than the sum of its proper divisors (260396616480).

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

70690838400 is an equidigital number, since it uses as much as digits as its factorization.

70690838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 70690838400 in words is "seventy billion, six hundred ninety million, eight hundred thirty-eight thousand, four hundred".