64253121408 has 576 divisors, whose sum is σ = 228559968000. Its totient is φ = 17226639360.

The previous prime is 64253121371. The next prime is 64253121421. The reversal of 64253121408 is 80412135246.

It is a happy number.

64253121408 is a `hidden beast` number, since 64 + 2 + 531 + 21 + 40 + 8 = 666.

64253121408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×64253121408² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 149078953 + ... + 149079383.

It is an arithmetic number, because the mean of its divisors is an integer number (396805500).

Almost surely, 2^64253121408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64253121408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114279984000).

64253121408 is an abundant number, since it is smaller than the sum of its proper divisors (164306846592).

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

64253121408 is a wasteful number, since it uses less digits than its factorization.

64253121408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 64253121408 in words is "sixty-four billion, two hundred fifty-three million, one hundred twenty-one thousand, four hundred eight".