61735819040 has 48 divisors (see below), whose sum is σ = 166686714432. Its totient is φ = 21166566144.

The previous prime is 61735819009. The next prime is 61735819051. The reversal of 61735819040 is 4091853716.

It is a super-2 number, since 2×61735819040² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61735818982 and 61735819000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27559514 + ... + 27561753.

It is an arithmetic number, because the mean of its divisors is an integer number (3472639884).

Almost surely, 2^61735819040 is an apocalyptic number.

It is an amenable number.

61735819040 is an abundant number, since it is smaller than the sum of its proper divisors (104950895392).

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

61735819040 is a wasteful number, since it uses less digits than its factorization.

61735819040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55121289 (or 55121281 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The spelling of 61735819040 in words is "sixty-one billion, seven hundred thirty-five million, eight hundred nineteen thousand, forty".