478016199872640 has 1536 divisors, whose sum is σ = 1958237809032960. Its totient is φ = 105921726382080.

The previous prime is 478016199872573. The next prime is 478016199872677. The reversal of 478016199872640 is 46278991610874.

478016199872640 is a `hidden beast` number, since 47 + 8 + 0 + 161 + 99 + 87 + 264 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 144546777867 + ... + 144546781173.

Almost surely, 2^{478016199872640} is an apocalyptic number.

478016199872640 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 478016199872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979118904516480).

478016199872640 is an abundant number, since it is smaller than the sum of its proper divisors (1480221609160320).

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

478016199872640 is a wasteful number, since it uses less digits than its factorization.

478016199872640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5022 (or 5007 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 478016199872640 in words is "four hundred seventy-eight trillion, sixteen billion, one hundred ninety-nine million, eight hundred seventy-two thousand, six hundred forty".