478070736000 has 1536 divisors, whose sum is σ = 1986039095040. Its totient is φ = 100270080000.

The previous prime is 478070735993. The next prime is 478070736001. The reversal of 478070736000 is 637070874.

It is not an unprimeable number, because it can be changed into a prime (478070736001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1983695880 + ... + 1983696120.

Almost surely, 2^478070736000 is an apocalyptic number.

478070736000 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 478070736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993019547520).

478070736000 is an abundant number, since it is smaller than the sum of its proper divisors (1507968359040).

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

478070736000 is a wasteful number, since it uses less digits than its factorization.

478070736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The spelling of 478070736000 in words is "four hundred seventy-eight billion, seventy million, seven hundred thirty-six thousand".