336704878080 has 960 divisors, whose sum is σ = 1278494331840. Its totient is φ = 83926056960.

The previous prime is 336704878067. The next prime is 336704878091. The reversal of 336704878080 is 80878407633.

336704878080 is a `hidden beast` number, since 3 + 3 + 6 + 7 + 0 + 487 + 80 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×336704878080² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2457699772 + ... + 2457699908.

It is an arithmetic number, because the mean of its divisors is an integer number (1331764929).

Almost surely, 2^336704878080 is an apocalyptic number.

336704878080 is a gapful number since it is divisible by the number (30) 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 336704878080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639247165920).

336704878080 is an abundant number, since it is smaller than the sum of its proper divisors (941789453760).

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

336704878080 is a wasteful number, since it uses less digits than its factorization.

336704878080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 336704878080 in words is "three hundred thirty-six billion, seven hundred four million, eight hundred seventy-eight thousand, eighty".