61327626431040 has 1792 divisors, whose sum is σ = 252381422592000. Its totient is φ = 13905608048640.

The previous prime is 61327626431011. The next prime is 61327626431041. The reversal of 61327626431040 is 4013462672316.

61327626431040 is a `hidden beast` number, since 6 + 1 + 3 + 2 + 7 + 626 + 4 + 3 + 10 + 4 + 0 = 666.

It is a super-2 number, since 2×61327626431040² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (61327626431041) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 24326704980 + ... + 24326707500.

Almost surely, 2^{61327626431040} is an apocalyptic number.

61327626431040 is a gapful number since it is divisible by the number (60) 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 61327626431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126190711296000).

61327626431040 is an abundant number, since it is smaller than the sum of its proper divisors (191053796160960).

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

61327626431040 is a wasteful number, since it uses less digits than its factorization.

61327626431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2985 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 61327626431040 in words is "sixty-one trillion, three hundred twenty-seven billion, six hundred twenty-six million, four hundred thirty-one thousand, forty".