478268144640 has 1056 divisors, whose sum is σ = 1962542941632. Its totient is φ = 106168320000.

The previous prime is 478268144633. The next prime is 478268144687. The reversal of 478268144640 is 46441862874.

478268144640 is a `hidden beast` number, since 4 + 7 + 82 + 6 + 81 + 446 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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, 1192688440 + ... + 1192688840.

Almost surely, 2^478268144640 is an apocalyptic number.

478268144640 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 478268144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981271470816).

478268144640 is an abundant number, since it is smaller than the sum of its proper divisors (1484274796992).

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

478268144640 is a wasteful number, since it uses less digits than its factorization.

478268144640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 478268144640 in words is "four hundred seventy-eight billion, two hundred sixty-eight million, one hundred forty-four thousand, six hundred forty".