64001907840 has 512 divisors, whose sum is σ = 227264486400. Its totient is φ = 15220998144.

The previous prime is 64001907839. The next prime is 64001907859. The reversal of 64001907840 is 4870910046.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 63 ways as a sum of consecutive naturals, for example, 104407374 + ... + 104407986.

It is an arithmetic number, because the mean of its divisors is an integer number (443875950).

Almost surely, 2^64001907840 is an apocalyptic number.

64001907840 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 64001907840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113632243200).

64001907840 is an abundant number, since it is smaller than the sum of its proper divisors (163262578560).

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

64001907840 is a wasteful number, since it uses less digits than its factorization.

64001907840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 64001907840 in words is "sixty-four billion, one million, nine hundred seven thousand, eight hundred forty".