61263936578672 has 80 divisors (see below), whose sum is σ = 131200490041920. Its totient is φ = 27565055840256.

The previous prime is 61263936578653. The next prime is 61263936578693. The reversal of 61263936578672 is 27687563936216.

It is a junction number, because it is equal to n+sod(n) for n = 61263936578596 and 61263936578605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12896018 + ... + 16995150.

It is an arithmetic number, because the mean of its divisors is an integer number (1640006125524).

Almost surely, 2^{61263936578672} 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 61263936578672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65600245020960).

61263936578672 is an abundant number, since it is smaller than the sum of its proper divisors (69936553463248).

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

61263936578672 is a wasteful number, since it uses less digits than its factorization.

61263936578672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4101570 (or 4101564 counting only the distinct ones).

The product of its digits is 823011840, while the sum is 71.

The spelling of 61263936578672 in words is "sixty-one trillion, two hundred sixty-three billion, nine hundred thirty-six million, five hundred seventy-eight thousand, six hundred seventy-two".