61738967040 has 224 divisors, whose sum is σ = 200527920000. Its totient is φ = 16215834624.

The previous prime is 61738967039. The next prime is 61738967083. The reversal of 61738967040 is 4076983716.

61738967040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8229211 + ... + 8236709.

Almost surely, 2^61738967040 is an apocalyptic number.

61738967040 is a gapful number since it is divisible by the number (60) 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 61738967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100263960000).

61738967040 is an abundant number, since it is smaller than the sum of its proper divisors (138788952960).

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

61738967040 is an equidigital number, since it uses as much as digits as its factorization.

61738967040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7600 (or 7576 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 61738967040 in words is "sixty-one billion, seven hundred thirty-eight million, nine hundred sixty-seven thousand, forty".