4264696800 has 864 divisors, whose sum is σ = 19381759488. Its totient is φ = 857640960.

The previous prime is 4264696759. The next prime is 4264696801. The reversal of 4264696800 is 86964624.

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 (4264696801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15069459 + ... + 15069741.

It is an arithmetic number, because the mean of its divisors is an integer number (22432592).

Almost surely, 2^4264696800 is an apocalyptic number.

4264696800 is a gapful number since it is divisible by the number (40) 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 4264696800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9690879744).

4264696800 is an abundant number, since it is smaller than the sum of its proper divisors (15117062688).

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

4264696800 is a wasteful number, since it uses less digits than its factorization.

4264696800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4264696800 is about 65304.6460828018. The cubic root of 4264696800 is about 1621.6708869177.

The spelling of 4264696800 in words is "four billion, two hundred sixty-four million, six hundred ninety-six thousand, eight hundred".