474366519728640 has 1280 divisors, whose sum is σ = 2101211228160000. Its totient is φ = 98548778926080.

The previous prime is 474366519728579. The next prime is 474366519728657. The reversal of 474366519728640 is 46827915663474.

474366519728640 is a `hidden beast` number, since 4 + 7 + 4 + 3 + 66 + 519 + 7 + 2 + 8 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 127 ways as a sum of consecutive naturals, for example, 48959280916 + ... + 48959290604.

It is an arithmetic number, because the mean of its divisors is an integer number (1641571272000).

It is a 1-persistent number, because it is pandigital, but 2⋅474366519728640 = 948733039457280 is not.

Almost surely, 2^{474366519728640} is an apocalyptic number.

474366519728640 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 474366519728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050605614080000).

474366519728640 is an abundant number, since it is smaller than the sum of its proper divisors (1626844708431360).

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

474366519728640 is a wasteful number, since it uses less digits than its factorization.

474366519728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18938 (or 18916 counting only the distinct ones).

The product of its (nonzero) digits is 1463132160, while the sum is 72.

The spelling of 474366519728640 in words is "four hundred seventy-four trillion, three hundred sixty-six billion, five hundred nineteen million, seven hundred twenty-eight thousand, six hundred forty".