478674862848000 has 7680 divisors, whose sum is σ = 2327079186432000. Its totient is φ = 97151975424000.

The previous prime is 478674862847999. The next prime is 478674862848047. The reversal of 478674862848000 is 848268476874.

It is a happy number.

478674862848000 is a `hidden beast` number, since 4 + 7 + 8 + 67 + 4 + 86 + 2 + 8 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

It is a super-2 number, since 2×478674862848000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 478674862848000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 2866316543917 + ... + 2866316544083.

It is an arithmetic number, because the mean of its divisors is an integer number (303005102400).

Almost surely, 2^{478674862848000} is an apocalyptic number.

478674862848000 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 478674862848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163539593216000).

478674862848000 is an abundant number, since it is smaller than the sum of its proper divisors (1848404323584000).

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

478674862848000 is a wasteful number, since it uses less digits than its factorization.

478674862848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 924844032, while the sum is 72.

The spelling of 478674862848000 in words is "four hundred seventy-eight trillion, six hundred seventy-four billion, eight hundred sixty-two million, eight hundred forty-eight thousand".