61846536960 has 432 divisors, whose sum is σ = 237672640800. Its totient is φ = 15222325248.

The previous prime is 61846536943. The next prime is 61846536977. The reversal of 61846536960 is 6963564816.

61846536960 is a `hidden beast` number, since 6 + 1 + 8 + 46 + 536 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (61846536943) and next prime (61846536977).

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a junction number, because it is equal to n+sod(n) for n = 61846536897 and 61846536906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5835346 + ... + 5845934.

It is an arithmetic number, because the mean of its divisors is an integer number (550168150).

Almost surely, 2^61846536960 is an apocalyptic number.

61846536960 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 61846536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118836320400).

61846536960 is an abundant number, since it is smaller than the sum of its proper divisors (175826103840).

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

61846536960 is a wasteful number, since it uses less digits than its factorization.

61846536960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10645 (or 10612 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 61846536960 in words is "sixty-one billion, eight hundred forty-six million, five hundred thirty-six thousand, nine hundred sixty".