61272495648 has 288 divisors, whose sum is σ = 225742608000. Its totient is φ = 15309139968.

The previous prime is 61272495631. The next prime is 61272495659. The reversal of 61272495648 is 84659427216.

61272495648 is a `hidden beast` number, since 6 + 1 + 2 + 72 + 4 + 9 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 61272495594 and 61272495603.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 436428 + ... + 559476.

It is an arithmetic number, because the mean of its divisors is an integer number (783828500).

Almost surely, 2^61272495648 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 61272495648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112871304000).

61272495648 is an abundant number, since it is smaller than the sum of its proper divisors (164470112352).

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

61272495648 is a wasteful number, since it uses less digits than its factorization.

61272495648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123104 (or 123093 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 61272495648 in words is "sixty-one billion, two hundred seventy-two million, four hundred ninety-five thousand, six hundred forty-eight".