406361789064 has 768 divisors, whose sum is σ = 1480965120000. Its totient is φ = 102299863680.

The previous prime is 406361789063. The next prime is 406361789081. The reversal of 406361789064 is 460987163604.

406361789064 is a `hidden beast` number, since 406 + 3 + 6 + 178 + 9 + 0 + 64 = 666.

It is a super-2 number, since 2×406361789064² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 406361789064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406361789063) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3945260037 + ... + 3945260139.

It is an arithmetic number, because the mean of its divisors is an integer number (1928340000).

Almost surely, 2^406361789064 is an apocalyptic number.

406361789064 is a gapful number since it is divisible by the number (44) 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 406361789064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740482560000).

406361789064 is an abundant number, since it is smaller than the sum of its proper divisors (1074603330936).

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

406361789064 is a wasteful number, since it uses less digits than its factorization.

406361789064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 406361789064 in words is "four hundred six billion, three hundred sixty-one million, seven hundred eighty-nine thousand, sixty-four".