61952272659648 has 448 divisors, whose sum is σ = 210625968384000. Its totient is φ = 17490065522688.

The previous prime is 61952272659643. The next prime is 61952272659649. The reversal of 61952272659648 is 84695627225916.

61952272659648 is a `hidden beast` number, since 6 + 1 + 9 + 5 + 2 + 2 + 7 + 26 + 596 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×61952272659648³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (61952272659643) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1678313640 + ... + 1678350552.

Almost surely, 2^{61952272659648} 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 61952272659648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105312984192000).

61952272659648 is an abundant number, since it is smaller than the sum of its proper divisors (148673695724352).

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

61952272659648 is a wasteful number, since it uses less digits than its factorization.

61952272659648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38589 (or 38573 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 72.

The spelling of 61952272659648 in words is "sixty-one trillion, nine hundred fifty-two billion, two hundred seventy-two million, six hundred fifty-nine thousand, six hundred forty-eight".