6061063097664 has 896 divisors, whose sum is σ = 19832256276480. Its totient is φ = 1807310389248.

The previous prime is 6061063097653. The next prime is 6061063097699. The reversal of 6061063097664 is 4667903601606.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6061063097664.

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 127 ways as a sum of consecutive naturals, for example, 8268844242 + ... + 8268844974.

Almost surely, 2^{6061063097664} is an apocalyptic number.

6061063097664 is a gapful number since it is divisible by the number (64) 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 6061063097664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9916128138240).

6061063097664 is an abundant number, since it is smaller than the sum of its proper divisors (13771193178816).

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

6061063097664 is a wasteful number, since it uses less digits than its factorization.

6061063097664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 6061063097664 in words is "six trillion, sixty-one billion, sixty-three million, ninety-seven thousand, six hundred sixty-four".