64960842240 has 1280 divisors, whose sum is σ = 280576327680. Its totient is φ = 13934592000.

The previous prime is 64960842239. The next prime is 64960842241. The reversal of 64960842240 is 4224806946.

It is an interprime number because it is at equal distance from previous prime (64960842239) and next prime (64960842241).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×64960842240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (64960842241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 914941405 + ... + 914941475.

It is an arithmetic number, because the mean of its divisors is an integer number (219200256).

Almost surely, 2^64960842240 is an apocalyptic number.

64960842240 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 64960842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140288163840).

64960842240 is an abundant number, since it is smaller than the sum of its proper divisors (215615485440).

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

64960842240 is a wasteful number, since it uses less digits than its factorization.

64960842240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 64960842240 in words is "sixty-four billion, nine hundred sixty million, eight hundred forty-two thousand, two hundred forty".