64191429120 has 640 divisors, whose sum is σ = 257482520064. Its totient is φ = 13280477184.

The previous prime is 64191429097. The next prime is 64191429139. The reversal of 64191429120 is 2192419146.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37039774 + ... + 37041506.

Almost surely, 2^64191429120 is an apocalyptic number.

64191429120 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 64191429120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128741260032).

64191429120 is an abundant number, since it is smaller than the sum of its proper divisors (193291090944).

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

64191429120 is a wasteful number, since it uses less digits than its factorization.

64191429120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 64191429120 in words is "sixty-four billion, one hundred ninety-one million, four hundred twenty-nine thousand, one hundred twenty".