64202149440 has 336 divisors, whose sum is σ = 259436713536. Its totient is φ = 14366822400.

The previous prime is 64202149421. The next prime is 64202149471. The reversal of 64202149440 is 4494120246.

It is a happy number.

64202149440 is a `hidden beast` number, since 6 + 4 + 202 + 1 + 4 + 9 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 64202149395 and 64202149404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 333895 + ... + 489785.

It is an arithmetic number, because the mean of its divisors is an integer number (772133076).

Almost surely, 2^64202149440 is an apocalyptic number.

64202149440 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 64202149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129718356768).

64202149440 is an abundant number, since it is smaller than the sum of its proper divisors (195234564096).

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

64202149440 is a wasteful number, since it uses less digits than its factorization.

64202149440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155938 (or 155925 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 64202149440 its reverse (4494120246), we get a palindrome (68696269686).

The spelling of 64202149440 in words is "sixty-four billion, two hundred two million, one hundred forty-nine thousand, four hundred forty".