6964070400 has 864 divisors, whose sum is σ = 30418053120. Its totient is φ = 1486356480.

The previous prime is 6964070389. The next prime is 6964070413. The reversal of 6964070400 is 40704696.

6964070400 is a `hidden beast` number, since 6 + 9 + 640 + 7 + 0 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 54835137 + ... + 54835263.

It is an arithmetic number, because the mean of its divisors is an integer number (35206080).

Almost surely, 2^6964070400 is an apocalyptic number.

6964070400 is a gapful number since it is divisible by the number (60) 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 6964070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15209026560).

6964070400 is an abundant number, since it is smaller than the sum of its proper divisors (23453982720).

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

6964070400 is a wasteful number, since it uses less digits than its factorization.

6964070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 6964070400 is about 83451.0059855482. The cubic root of 6964070400 is about 1909.6526693149.

The spelling of 6964070400 in words is "six billion, nine hundred sixty-four million, seventy thousand, four hundred".