65775628800 has 1680 divisors, whose sum is σ = 299482349760. Its totient is φ = 13974405120.

The previous prime is 65775628679. The next prime is 65775628921. The reversal of 65775628800 is 882657756.

65775628800 is a `hidden beast` number, since 6 + 5 + 7 + 7 + 5 + 628 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (65775628679) and next prime (65775628921).

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1241049574 + ... + 1241049626.

Almost surely, 2^65775628800 is an apocalyptic number.

65775628800 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 65775628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149741174880).

65775628800 is an abundant number, since it is smaller than the sum of its proper divisors (233706720960).

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

65775628800 is an equidigital number, since it uses as much as digits as its factorization.

65775628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 65775628800 in words is "sixty-five billion, seven hundred seventy-five million, six hundred twenty-eight thousand, eight hundred".