61626207456 has 672 divisors, whose sum is σ = 209842569216. Its totient is φ = 17635968000.

The previous prime is 61626207437. The next prime is 61626207481. The reversal of 61626207456 is 65470262616.

61626207456 is a `hidden beast` number, since 6 + 16 + 2 + 620 + 7 + 4 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 485245665 + ... + 485245791.

It is an arithmetic number, because the mean of its divisors is an integer number (312265728).

Almost surely, 2^61626207456 is an apocalyptic number.

61626207456 is a gapful number since it is divisible by the number (66) 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 61626207456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104921284608).

61626207456 is an abundant number, since it is smaller than the sum of its proper divisors (148216361760).

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

61626207456 is a wasteful number, since it uses less digits than its factorization.

61626207456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 61626207456 in words is "sixty-one billion, six hundred twenty-six million, two hundred seven thousand, four hundred fifty-six".