71770199040 has 440 divisors, whose sum is σ = 261492082632. Its totient is φ = 18818334720.

The previous prime is 71770199029. The next prime is 71770199087. The reversal of 71770199040 is 4099107717.

It can be written as a sum of positive squares in 4 ways, for example, as 5478368256 + 66291830784 = 74016^2 + 257472^2 .

It is a super-2 number, since 2×71770199040² (a number of 23 digits) contains 22 as substring.

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

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, 25296502 + ... + 25299338.

Almost surely, 2^71770199040 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 71770199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130746041316).

71770199040 is an abundant number, since it is smaller than the sum of its proper divisors (189721883592).

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

71770199040 is a wasteful number, since it uses less digits than its factorization.

71770199040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2935 (or 2908 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 45.

The spelling of 71770199040 in words is "seventy-one billion, seven hundred seventy million, one hundred ninety-nine thousand, forty".