6964794900 has 216 divisors, whose sum is σ = 25624609920. Its totient is φ = 1548875520.

The previous prime is 6964794899. The next prime is 6964794901. The reversal of 6964794900 is 94974696.

It is an interprime number because it is at equal distance from previous prime (6964794899) and next prime (6964794901).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6964794901) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 218161 + ... + 248039.

Almost surely, 2^6964794900 is an apocalyptic number.

6964794900 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 6964794900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12812304960).

6964794900 is an abundant number, since it is smaller than the sum of its proper divisors (18659815020).

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

6964794900 is a wasteful number, since it uses less digits than its factorization.

6964794900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29943 (or 29933 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 6964794900 is about 83455.3467430338. The cubic root of 6964794900 is about 1909.7188899446.

The spelling of 6964794900 in words is "six billion, nine hundred sixty-four million, seven hundred ninety-four thousand, nine hundred".