64199741253840 has 240 divisors, whose sum is σ = 218285555080320. Its totient is φ = 16907172387840.

The previous prime is 64199741253829. The next prime is 64199741253853. The reversal of 64199741253840 is 4835214799146.

64199741253840 is a `hidden beast` number, since 6 + 4 + 1 + 9 + 97 + 4 + 1 + 2 + 538 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156426021 + ... + 156835899.

It is an arithmetic number, because the mean of its divisors is an integer number (909523146168).

It is a 2-persistent number, because it is pandigital, and so is 2⋅64199741253840 = 128399482507680, but 3⋅64199741253840 = 192599223761520 is not.

Almost surely, 2^{64199741253840} is an apocalyptic number.

64199741253840 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 64199741253840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109142777540160).

64199741253840 is an abundant number, since it is smaller than the sum of its proper divisors (154085813826480).

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

64199741253840 is a wasteful number, since it uses less digits than its factorization.

64199741253840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412602 (or 412593 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 64199741253840 in words is "sixty-four trillion, one hundred ninety-nine billion, seven hundred forty-one million, two hundred fifty-three thousand, eight hundred forty".