478307337984 has 360 divisors, whose sum is σ = 1664676507648. Its totient is φ = 133749688320.

The previous prime is 478307337983. The next prime is 478307338001. The reversal of 478307337984 is 489733703874.

478307337984 is a `hidden beast` number, since 47 + 83 + 0 + 73 + 379 + 84 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478307337983) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6787089 + ... + 6857199.

Almost surely, 2^478307337984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478307337984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832338253824).

478307337984 is an abundant number, since it is smaller than the sum of its proper divisors (1186369169664).

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

478307337984 is an equidigital number, since it uses as much as digits as its factorization.

478307337984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70193 (or 70170 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 478307337984 in words is "four hundred seventy-eight billion, three hundred seven million, three hundred thirty-seven thousand, nine hundred eighty-four".