64106205840 has 400 divisors, whose sum is σ = 227969575680. Its totient is φ = 16691650560.

The previous prime is 64106205803. The next prime is 64106205847. The reversal of 64106205840 is 4850260146.

64106205840 is a `hidden beast` number, since 6 + 4 + 10 + 62 + 0 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 64106205795 and 64106205804.

It is not an unprimeable number, because it can be changed into a prime (64106205847) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49655595 + ... + 49656885.

Almost surely, 2^64106205840 is an apocalyptic number.

64106205840 is a gapful number since it is divisible by the number (60) 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 64106205840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113984787840).

64106205840 is an abundant number, since it is smaller than the sum of its proper divisors (163863369840).

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

64106205840 is a wasteful number, since it uses less digits than its factorization.

64106205840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 64106205840 its reverse (4850260146), we get a palindrome (68956465986).

The spelling of 64106205840 in words is "sixty-four billion, one hundred six million, two hundred five thousand, eight hundred forty".