64192849920 has 480 divisors, whose sum is σ = 231855984360. Its totient is φ = 16986931200.

The previous prime is 64192849909. The next prime is 64192849927. The reversal of 64192849920 is 2994829146.

64192849920 is a `hidden beast` number, since 6 + 41 + 92 + 8 + 499 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 60068127744 + 4124722176 = 245088^2 + 64224^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (64192849927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 160081720 + ... + 160082120.

Almost surely, 2^64192849920 is an apocalyptic number.

64192849920 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 64192849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115927992180).

64192849920 is an abundant number, since it is smaller than the sum of its proper divisors (167663134440).

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

64192849920 is a wasteful number, since it uses less digits than its factorization.

64192849920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 64192849920 in words is "sixty-four billion, one hundred ninety-two million, eight hundred forty-nine thousand, nine hundred twenty".