64067009165040 has 400 divisors, whose sum is σ = 236066950667808. Its totient is φ = 14367581190144.

The previous prime is 64067009165017. The next prime is 64067009165051. The reversal of 64067009165040 is 4056190076046.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29491842 + ... + 31589598.

Almost surely, 2^{64067009165040} is an apocalyptic number.

64067009165040 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 64067009165040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118033475333904).

64067009165040 is an abundant number, since it is smaller than the sum of its proper divisors (171999941502768).

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

64067009165040 is a wasteful number, since it uses less digits than its factorization.

64067009165040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097854 (or 2097827 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 64067009165040 in words is "sixty-four trillion, sixty-seven billion, nine million, one hundred sixty-five thousand, forty".