475007638000 has 320 divisors, whose sum is σ = 1441830574080. Its totient is φ = 147578112000.

The previous prime is 475007637991. The next prime is 475007638009. The reversal of 475007638000 is 836700574.

It is an interprime number because it is at equal distance from previous prime (475007637991) and next prime (475007638009).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475007638009) 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, 6079180 + ... + 6156820.

It is an arithmetic number, because the mean of its divisors is an integer number (4505720544).

Almost surely, 2^475007638000 is an apocalyptic number.

475007638000 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 475007638000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720915287040).

475007638000 is an abundant number, since it is smaller than the sum of its proper divisors (966822936080).

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

475007638000 is a wasteful number, since it uses less digits than its factorization.

475007638000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77713 (or 77697 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 475007638000 in words is "four hundred seventy-five billion, seven million, six hundred thirty-eight thousand".