874664406000 has 2560 divisors, whose sum is σ = 4111451136000. Its totient is φ = 178319232000.

The previous prime is 874664405957. The next prime is 874664406029. The reversal of 874664406000 is 604466478.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 16503101974 + ... + 16503102026.

It is an arithmetic number, because the mean of its divisors is an integer number (1606035600).

Almost surely, 2^874664406000 is an apocalyptic number.

874664406000 is a gapful number since it is divisible by the number (80) 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 874664406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055725568000).

874664406000 is an abundant number, since it is smaller than the sum of its proper divisors (3236786730000).

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

874664406000 is an equidigital number, since it uses as much as digits as its factorization.

874664406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 874664406000 in words is "eight hundred seventy-four billion, six hundred sixty-four million, four hundred six thousand".