64449008358840 has 768 divisors, whose sum is σ = 253131756134400. Its totient is φ = 13908987187200.

The previous prime is 64449008358827. The next prime is 64449008358841. The reversal of 64449008358840 is 4885380094446.

64449008358840 is a `hidden beast` number, since 6 + 4 + 4 + 4 + 9 + 0 + 0 + 8 + 3 + 588 + 40 = 666.

It is a super-2 number, since 2×64449008358840² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64449008358841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3160959366 + ... + 3160979754.

It is an arithmetic number, because the mean of its divisors is an integer number (329598640800).

Almost surely, 2^{64449008358840} is an apocalyptic number.

64449008358840 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 64449008358840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126565878067200).

64449008358840 is an abundant number, since it is smaller than the sum of its proper divisors (188682747775560).

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

64449008358840 is a wasteful number, since it uses less digits than its factorization.

64449008358840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21428 (or 21421 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 64449008358840 in words is "sixty-four trillion, four hundred forty-nine billion, eight million, three hundred fifty-eight thousand, eight hundred forty".