75655280064 has 336 divisors, whose sum is σ = 261726606848. Its totient is φ = 18778079232.

The previous prime is 75655280039. The next prime is 75655280101. The reversal of 75655280064 is 46008255657.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 75655279995 and 75655280022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5041917 + ... + 5056899.

Almost surely, 2^75655280064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75655280064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130863303424).

75655280064 is an abundant number, since it is smaller than the sum of its proper divisors (186071326784).

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

75655280064 is a wasteful number, since it uses less digits than its factorization.

75655280064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15052 (or 15025 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 48.

The spelling of 75655280064 in words is "seventy-five billion, six hundred fifty-five million, two hundred eighty thousand, sixty-four".