61738919040 has 256 divisors, whose sum is σ = 211311555840. Its totient is φ = 15276441600.

The previous prime is 61738919027. The next prime is 61738919051. The reversal of 61738919040 is 4091983716.

It is a happy number.

61738919040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2304120 + ... + 2330760.

It is an arithmetic number, because the mean of its divisors is an integer number (825435765).

Almost surely, 2^61738919040 is an apocalyptic number.

61738919040 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 61738919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105655777920).

61738919040 is an abundant number, since it is smaller than the sum of its proper divisors (149572636800).

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

61738919040 is a wasteful number, since it uses less digits than its factorization.

61738919040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26751 (or 26739 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 61738919040 in words is "sixty-one billion, seven hundred thirty-eight million, nine hundred nineteen thousand, forty".