64351106820 has 864 divisors, whose sum is σ = 267505265664. Its totient is φ = 12157516800.

The previous prime is 64351106759. The next prime is 64351106851. The reversal of 64351106820 is 2860115346.

It is a happy number.

64351106820 is a `hidden beast` number, since 64 + 3 + 511 + 0 + 6 + 82 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 194414055 + ... + 194414385.

It is an arithmetic number, because the mean of its divisors is an integer number (309612576).

Almost surely, 2^64351106820 is an apocalyptic number.

64351106820 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 64351106820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133752632832).

64351106820 is an abundant number, since it is smaller than the sum of its proper divisors (203154158844).

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

64351106820 is a wasteful number, since it uses less digits than its factorization.

64351106820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

It can be divided in two parts, 64351 and 106820, that added together give a palindrome (171171).

The spelling of 64351106820 in words is "sixty-four billion, three hundred fifty-one million, one hundred six thousand, eight hundred twenty".