64030405824 has 1120 divisors, whose sum is σ = 254074452480. Its totient is φ = 15647385600.

The previous prime is 64030405807. The next prime is 64030405909. The reversal of 64030405824 is 42850403046.

64030405824 is a `hidden beast` number, since 6 + 4 + 0 + 30 + 40 + 582 + 4 = 666.

It is a super-2 number, since 2×64030405824² (a number of 22 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 1049678754 + ... + 1049678814.

Almost surely, 2^64030405824 is an apocalyptic number.

64030405824 is a gapful number since it is divisible by the number (64) 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 64030405824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127037226240).

64030405824 is an abundant number, since it is smaller than the sum of its proper divisors (190044046656).

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

64030405824 is a wasteful number, since it uses less digits than its factorization.

64030405824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 64030405824 in words is "sixty-four billion, thirty million, four hundred five thousand, eight hundred twenty-four".