61383677337540 has 384 divisors, whose sum is σ = 201864163737600. Its totient is φ = 15467871767040.

The previous prime is 61383677337527. The next prime is 61383677337589. The reversal of 61383677337540 is 4573377638316.

61383677337540 is a `hidden beast` number, since 6 + 1 + 3 + 83 + 6 + 7 + 7 + 3 + 3 + 7 + 540 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 94721941 + ... + 95367779.

It is an arithmetic number, because the mean of its divisors is an integer number (525687926400).

Almost surely, 2^{61383677337540} is an apocalyptic number.

61383677337540 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 61383677337540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100932081868800).

61383677337540 is an abundant number, since it is smaller than the sum of its proper divisors (140480486400060).

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

61383677337540 is a wasteful number, since it uses less digits than its factorization.

61383677337540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646032 (or 646024 counting only the distinct ones).

The product of its (nonzero) digits is 160030080, while the sum is 63.

The spelling of 61383677337540 in words is "sixty-one trillion, three hundred eighty-three billion, six hundred seventy-seven million, three hundred thirty-seven thousand, five hundred forty".