478699313664 has 640 divisors, whose sum is σ = 1558380257280. Its totient is φ = 128596377600.

The previous prime is 478699313663. The next prime is 478699313671. The reversal of 478699313664 is 466313996874.

It is a super-4 number, since 4×478699313664⁴ (a number of 48 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 478699313595 and 478699313604.

It is not an unprimeable number, because it can be changed into a prime (478699313663) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1559280999 + ... + 1559281305.

It is an arithmetic number, because the mean of its divisors is an integer number (2434969152).

Almost surely, 2^478699313664 is an apocalyptic number.

478699313664 is a gapful number since it is divisible by the number (44) 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 478699313664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779190128640).

478699313664 is an abundant number, since it is smaller than the sum of its proper divisors (1079680943616).

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

478699313664 is a wasteful number, since it uses less digits than its factorization.

478699313664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 596 counting only the distinct ones).

The product of its digits is 141087744, while the sum is 66.

The spelling of 478699313664 in words is "four hundred seventy-eight billion, six hundred ninety-nine million, three hundred thirteen thousand, six hundred sixty-four".