61026835968 has 600 divisors, whose sum is σ = 215902308600. Its totient is φ = 17107034112.

The previous prime is 61026835967. The next prime is 61026835979. The reversal of 61026835968 is 86953862016.

It is a happy number.

61026835968 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61026835967) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 119895298 + ... + 119895806.

It is an arithmetic number, because the mean of its divisors is an integer number (359837181).

Almost surely, 2^61026835968 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 61026835968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107951154300).

61026835968 is an abundant number, since it is smaller than the sum of its proper divisors (154875472632).

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

61026835968 is an equidigital number, since it uses as much as digits as its factorization.

61026835968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 61026835968 in words is "sixty-one billion, twenty-six million, eight hundred thirty-five thousand, nine hundred sixty-eight".