75571700064 has 288 divisors, whose sum is σ = 235276876800. Its totient is φ = 20796604416.

The previous prime is 75571700059. The next prime is 75571700089. The reversal of 75571700064 is 46000717557.

It is a super-2 number, since 2×75571700064² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 75571699989 and 75571700025.

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, 168310912 + ... + 168311360.

It is an arithmetic number, because the mean of its divisors is an integer number (816933600).

Almost surely, 2^75571700064 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 75571700064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117638438400).

75571700064 is an abundant number, since it is smaller than the sum of its proper divisors (159705176736).

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

75571700064 is a wasteful number, since it uses less digits than its factorization.

75571700064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 205800, while the sum is 42.

It can be divided in two parts, 75571 and 700064, that added together give a triangular number (775635 = T₁₂₄₅).

The spelling of 75571700064 in words is "seventy-five billion, five hundred seventy-one million, seven hundred thousand, sixty-four".