468083637000 has 512 divisors, whose sum is σ = 1857673958400. Its totient is φ = 106807680000.

The previous prime is 468083636989. The next prime is 468083637029. The reversal of 468083637000 is 736380864.

468083637000 is a `hidden beast` number, since 4 + 6 + 8 + 0 + 8 + 3 + 637 + 0 + 0 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 132487234 + ... + 132490766.

It is an arithmetic number, because the mean of its divisors is an integer number (3628269450).

Almost surely, 2^468083637000 is an apocalyptic number.

468083637000 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 468083637000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928836979200).

468083637000 is an abundant number, since it is smaller than the sum of its proper divisors (1389590321400).

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

468083637000 is a wasteful number, since it uses less digits than its factorization.

468083637000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4271 (or 4251 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 468083637000 in words is "four hundred sixty-eight billion, eighty-three million, six hundred thirty-seven thousand".