61649626752 has 576 divisors, whose sum is σ = 213050541600. Its totient is φ = 17054650368.

The previous prime is 61649626741. The next prime is 61649626763. The reversal of 61649626752 is 25762694616.

61649626752 is a `hidden beast` number, since 6 + 1 + 6 + 4 + 9 + 626 + 7 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (61649626741) and next prime (61649626763).

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 356356138 + ... + 356356310.

Almost surely, 2^61649626752 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 61649626752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106525270800).

61649626752 is an abundant number, since it is smaller than the sum of its proper divisors (151400914848).

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

61649626752 is a wasteful number, since it uses less digits than its factorization.

61649626752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 351 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 61649626752 in words is "sixty-one billion, six hundred forty-nine million, six hundred twenty-six thousand, seven hundred fifty-two".