64142704080 has 480 divisors, whose sum is σ = 280723532544. Its totient is φ = 12737101824.

The previous prime is 64142704019. The next prime is 64142704111. The reversal of 64142704080 is 8040724146.

64142704080 is a `hidden beast` number, since 641 + 4 + 2 + 7 + 0 + 4 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×64142704080² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1085047 + ... + 1142633.

Almost surely, 2^64142704080 is an apocalyptic number.

64142704080 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 64142704080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140361766272).

64142704080 is an abundant number, since it is smaller than the sum of its proper divisors (216580828464).

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

64142704080 is a wasteful number, since it uses less digits than its factorization.

64142704080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57643 (or 57634 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 64142704080 in words is "sixty-four billion, one hundred forty-two million, seven hundred four thousand, eighty".