474352387246080 has 1920 divisors, whose sum is σ = 1959020743680000. Its totient is φ = 107539855441920.

The previous prime is 474352387246079. The next prime is 474352387246091. The reversal of 474352387246080 is 80642783253474.

474352387246080 is a `hidden beast` number, since 4 + 7 + 4 + 3 + 5 + 2 + 387 + 246 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 474352387245999 and 474352387246017.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 659739063961 + ... + 659739064679.

It is an arithmetic number, because the mean of its divisors is an integer number (1020323304000).

Almost surely, 2^{474352387246080} is an apocalyptic number.

474352387246080 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 474352387246080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979510371840000).

474352387246080 is an abundant number, since it is smaller than the sum of its proper divisors (1484668356433920).

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

474352387246080 is a wasteful number, since it uses less digits than its factorization.

474352387246080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 63.

The spelling of 474352387246080 in words is "four hundred seventy-four trillion, three hundred fifty-two billion, three hundred eighty-seven million, two hundred forty-six thousand, eighty".