64223916906240 has 6480 divisors, whose sum is σ = 317010326814720. Its totient is φ = 12325425315840.

The previous prime is 64223916906229. The next prime is 64223916906251. The reversal of 64223916906240 is 4260961932246.

64223916906240 is a `hidden beast` number, since 6 + 4 + 2 + 2 + 3 + 9 + 1 + 6 + 9 + 0 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (64223916906229) and next prime (64223916906251).

It is a tau number, because it is divible by the number of its divisors (6480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 505700133057 + ... + 505700133183.

Almost surely, 2^{64223916906240} is an apocalyptic number.

64223916906240 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 64223916906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158505163407360).

64223916906240 is an abundant number, since it is smaller than the sum of its proper divisors (252786409908480).

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

64223916906240 is a wasteful number, since it uses less digits than its factorization.

64223916906240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 64223916906240 in words is "sixty-four trillion, two hundred twenty-three billion, nine hundred sixteen million, nine hundred six thousand, two hundred forty".