64193829840 has 360 divisors, whose sum is σ = 261688572288. Its totient is φ = 14034746880.

The previous prime is 64193829827. The next prime is 64193829841. The reversal of 64193829840 is 4892839146.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64193829841) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 771885 + ... + 850995.

Almost surely, 2^64193829840 is an apocalyptic number.

64193829840 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 64193829840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130844286144).

64193829840 is an abundant number, since it is smaller than the sum of its proper divisors (197494742448).

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

64193829840 is a wasteful number, since it uses less digits than its factorization.

64193829840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79167 (or 79151 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 64193829840 in words is "sixty-four billion, one hundred ninety-three million, eight hundred twenty-nine thousand, eight hundred forty".