61865430914560 has 640 divisors, whose sum is σ = 189938307170304. Its totient is φ = 18798321991680.

The previous prime is 61865430914549. The next prime is 61865430914561. The reversal of 61865430914560 is 6541903456816.

It is a tau number, because it is divible by the number of its divisors (640).

It is a junction number, because it is equal to n+sod(n) for n = 61865430914495 and 61865430914504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61865430914561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 917129794 + ... + 917197246.

Almost surely, 2^{61865430914560} 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 61865430914560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94969153585152).

61865430914560 is an abundant number, since it is smaller than the sum of its proper divisors (128072876255744).

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

61865430914560 is a wasteful number, since it uses less digits than its factorization.

61865430914560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67654 (or 67638 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 58.

The spelling of 61865430914560 in words is "sixty-one trillion, eight hundred sixty-five billion, four hundred thirty million, nine hundred fourteen thousand, five hundred sixty".