61964559360 has 1320 divisors, whose sum is σ = 262793925504. Its totient is φ = 13837271040.

The previous prime is 61964559341. The next prime is 61964559361. The reversal of 61964559360 is 6395546916.

61964559360 is a `hidden beast` number, since 6 + 1 + 9 + 6 + 45 + 593 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

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 = 61964559297 and 61964559306.

It is not an unprimeable number, because it can be changed into a prime (61964559361) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1318394857 + ... + 1318394903.

Almost surely, 2^61964559360 is an apocalyptic number.

61964559360 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 61964559360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131396962752).

61964559360 is an abundant number, since it is smaller than the sum of its proper divisors (200829366144).

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

61964559360 is a wasteful number, since it uses less digits than its factorization.

61964559360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 61964559360 in words is "sixty-one billion, nine hundred sixty-four million, five hundred fifty-nine thousand, three hundred sixty".