4697064028800 has 2304 divisors, whose sum is σ = 20830955483520. Its totient is φ = 1029965414400.

The previous prime is 4697064028763. The next prime is 4697064028817. The reversal of 4697064028800 is 88204607964.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5893430002 + ... + 5893430798.

Almost surely, 2^{4697064028800} is an apocalyptic number.

4697064028800 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 4697064028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10415477741760).

4697064028800 is an abundant number, since it is smaller than the sum of its proper divisors (16133891454720).

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

4697064028800 is a wasteful number, since it uses less digits than its factorization.

4697064028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 4697064028800 in words is "four trillion, six hundred ninety-seven billion, sixty-four million, twenty-eight thousand, eight hundred".