64975011840 has 588 divisors, whose sum is σ = 247556092644. Its totient is φ = 16307453952.

The previous prime is 64975011817. The next prime is 64975011863. The reversal of 64975011840 is 4811057946.

64975011840 is a `hidden beast` number, since 6 + 4 + 97 + 501 + 18 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (64975011817) and next prime (64975011863).

It can be written as a sum of positive squares in 2 ways, for example, as 37456183296 + 27518828544 = 193536^2 + 165888^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3822059512 + ... + 3822059528.

It is an arithmetic number, because the mean of its divisors is an integer number (421013763).

Almost surely, 2^64975011840 is an apocalyptic number.

64975011840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

64975011840 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64975011840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123778046322).

64975011840 is an abundant number, since it is smaller than the sum of its proper divisors (182581080804).

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

64975011840 is an frugal number, since it uses more digits than its factorization.

64975011840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 64975011840 in words is "sixty-four billion, nine hundred seventy-five million, eleven thousand, eight hundred forty".