61263037638 has 192 divisors, whose sum is σ = 162352270080. Its totient is φ = 17111088000.

The previous prime is 61263037607. The next prime is 61263037643. The reversal of 61263037638 is 83673036216.

61263037638 is a `hidden beast` number, since 6 + 1 + 2 + 6 + 3 + 0 + 3 + 7 + 638 = 666.

61263037638 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 61263037593 and 61263037602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3750088 + ... + 3766388.

It is an arithmetic number, because the mean of its divisors is an integer number (845584740).

Almost surely, 2^61263037638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61263037638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81176135040).

61263037638 is an abundant number, since it is smaller than the sum of its proper divisors (101089232442).

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

61263037638 is a wasteful number, since it uses less digits than its factorization.

61263037638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16385 (or 16373 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 61263037638 in words is "sixty-one billion, two hundred sixty-three million, thirty-seven thousand, six hundred thirty-eight".