474763767168 has 128 divisors (see below), whose sum is σ = 1264752908640. Its totient is φ = 157795942400.

The previous prime is 474763767139. The next prime is 474763767187. The reversal of 474763767168 is 861767367474.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×474763767168³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 474763767099 and 474763767108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320568988 + ... + 320570468.

Almost surely, 2^474763767168 is an apocalyptic number.

474763767168 is a gapful number since it is divisible by the number (48) 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 474763767168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632376454320).

474763767168 is an abundant number, since it is smaller than the sum of its proper divisors (789989141472).

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

474763767168 is a wasteful number, since it uses less digits than its factorization.

474763767168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3356 (or 3344 counting only the distinct ones).

The product of its digits is 199148544, while the sum is 66.

The spelling of 474763767168 in words is "four hundred seventy-four billion, seven hundred sixty-three million, seven hundred sixty-seven thousand, one hundred sixty-eight".