65975364000 has 1536 divisors, whose sum is σ = 303803136000. Its totient is φ = 13818470400.

The previous prime is 65975363989. The next prime is 65975364011. The reversal of 65975364000 is 46357956.

65975364000 is a `hidden beast` number, since 6 + 597 + 53 + 6 + 4 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (65975363989) and next prime (65975364011).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 481571932 + ... + 481572068.

It is an arithmetic number, because the mean of its divisors is an integer number (197788500).

Almost surely, 2^65975364000 is an apocalyptic number.

65975364000 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 65975364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151901568000).

65975364000 is an abundant number, since it is smaller than the sum of its proper divisors (237827772000).

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

65975364000 is a wasteful number, since it uses less digits than its factorization.

65975364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 65975364000 in words is "sixty-five billion, nine hundred seventy-five million, three hundred sixty-four thousand".