61683741015552 has 320 divisors, whose sum is σ = 194486417072640. Its totient is φ = 19235870834688.

The previous prime is 61683741015541. The next prime is 61683741015577. The reversal of 61683741015552 is 25551014738616.

61683741015552 is a `hidden beast` number, since 6 + 1 + 6 + 8 + 3 + 74 + 1 + 0 + 15 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38460483 + ... + 40032189.

It is an arithmetic number, because the mean of its divisors is an integer number (607770053352).

Almost surely, 2^{61683741015552} 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 61683741015552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97243208536320).

61683741015552 is an abundant number, since it is smaller than the sum of its proper divisors (132802676057088).

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

61683741015552 is a wasteful number, since it uses less digits than its factorization.

61683741015552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571918 (or 1571896 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 61683741015552 in words is "sixty-one trillion, six hundred eighty-three billion, seven hundred forty-one million, fifteen thousand, five hundred fifty-two".