61276638900 has 288 divisors, whose sum is σ = 184693178880. Its totient is φ = 15677038080.

The previous prime is 61276638889. The next prime is 61276638923. The reversal of 61276638900 is 983667216.

It is a self number, because there is not a number n which added to its sum of digits gives 61276638900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 193301542 + ... + 193301858.

It is an arithmetic number, because the mean of its divisors is an integer number (641295760).

Almost surely, 2^61276638900 is an apocalyptic number.

61276638900 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 61276638900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92346589440).

61276638900 is an abundant number, since it is smaller than the sum of its proper divisors (123416539980).

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

61276638900 is a wasteful number, since it uses less digits than its factorization.

61276638900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 61276638900 in words is "sixty-one billion, two hundred seventy-six million, six hundred thirty-eight thousand, nine hundred".