601599987648 has 448 divisors, whose sum is σ = 1958908147200. Its totient is φ = 179534315520.

The previous prime is 601599987629. The next prime is 601599987683. The reversal of 601599987648 is 846789995106.

601599987648 is a `hidden beast` number, since 601 + 5 + 9 + 9 + 9 + 8 + 7 + 6 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 371586583 + ... + 371588201.

Almost surely, 2^601599987648 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 601599987648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979454073600).

601599987648 is an abundant number, since it is smaller than the sum of its proper divisors (1357308159552).

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

601599987648 is a wasteful number, since it uses less digits than its factorization.

601599987648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 601599987648 in words is "six hundred one billion, five hundred ninety-nine million, nine hundred eighty-seven thousand, six hundred forty-eight".