65404952064 has 400 divisors, whose sum is σ = 205341143040. Its totient is φ = 20686786560.

The previous prime is 65404952051. The next prime is 65404952077. The reversal of 65404952064 is 46025940456.

65404952064 is a `hidden beast` number, since 6 + 540 + 49 + 5 + 2 + 0 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (65404952051) and next prime (65404952077).

It is a super-3 number, since 3×65404952064³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 182186317 + ... + 182186675.

Almost surely, 2^65404952064 is an apocalyptic number.

65404952064 is a gapful number since it is divisible by the number (64) 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 65404952064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102670571520).

65404952064 is an abundant number, since it is smaller than the sum of its proper divisors (139936190976).

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

65404952064 is a wasteful number, since it uses less digits than its factorization.

65404952064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 65404952064 in words is "sixty-five billion, four hundred four million, nine hundred fifty-two thousand, sixty-four".