61726261248 has 532 divisors, whose sum is σ = 206296448760. Its totient is φ = 18345885696.

The previous prime is 61726261217. The next prime is 61726261249. The reversal of 61726261248 is 84216262716.

61726261248 is a `hidden beast` number, since 6 + 1 + 7 + 2 + 626 + 12 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61726261249) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3248750583 + ... + 3248750601.

Almost surely, 2^61726261248 is an apocalyptic number.

61726261248 is a gapful number since it is divisible by the number (68) 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 61726261248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103148224380).

61726261248 is an abundant number, since it is smaller than the sum of its proper divisors (144570187512).

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

61726261248 is an frugal number, since it uses more digits than its factorization.

61726261248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 41 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 61726261248 in words is "sixty-one billion, seven hundred twenty-six million, two hundred sixty-one thousand, two hundred forty-eight".