64601456640 has 304 divisors, whose sum is σ = 236356968192. Its totient is φ = 14759755776.

The previous prime is 64601456599. The next prime is 64601456657. The reversal of 64601456640 is 4665410646.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 64601456592 and 64601456601.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27523947 + ... + 27526293.

Almost surely, 2^64601456640 is an apocalyptic number.

64601456640 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 64601456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118178484096).

64601456640 is an abundant number, since it is smaller than the sum of its proper divisors (171755511552).

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

64601456640 is an frugal number, since it uses more digits than its factorization.

64601456640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 64601456640 in words is "sixty-four billion, six hundred one million, four hundred fifty-six thousand, six hundred forty".