478736271552 has 672 divisors, whose sum is σ = 1640804171776. Its totient is φ = 120516802560.

The previous prime is 478736271547. The next prime is 478736271577. The reversal of 478736271552 is 255172637874.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 478736271492 and 478736271501.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1559401383 + ... + 1559401689.

Almost surely, 2^478736271552 is an apocalyptic number.

478736271552 is a gapful number since it is divisible by the number (42) 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 478736271552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820402085888).

478736271552 is an abundant number, since it is smaller than the sum of its proper divisors (1162067900224).

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

478736271552 is a wasteful number, since it uses less digits than its factorization.

478736271552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 596 counting only the distinct ones).

The product of its digits is 19756800, while the sum is 57.

The spelling of 478736271552 in words is "four hundred seventy-eight billion, seven hundred thirty-six million, two hundred seventy-one thousand, five hundred fifty-two".