474703626240 has 768 divisors, whose sum is σ = 1805258566800. Its totient is φ = 114856820736.

The previous prime is 474703626217. The next prime is 474703626253. The reversal of 474703626240 is 42626307474.

474703626240 is a `hidden beast` number, since 4 + 7 + 47 + 0 + 362 + 6 + 240 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 212690681856 + 262012944384 = 461184^2 + 511872^2 .

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 726957754 + ... + 726958406.

Almost surely, 2^474703626240 is an apocalyptic number.

474703626240 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 474703626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902629283400).

474703626240 is an abundant number, since it is smaller than the sum of its proper divisors (1330554940560).

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

474703626240 is a wasteful number, since it uses less digits than its factorization.

474703626240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 474703626240 in words is "four hundred seventy-four billion, seven hundred three million, six hundred twenty-six thousand, two hundred forty".