61895797600 has 576 divisors, whose sum is σ = 193476366720. Its totient is φ = 18815385600.

The previous prime is 61895797597. The next prime is 61895797603. The reversal of 61895797600 is 679759816.

61895797600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61895797597) and next prime (61895797603).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61895797603) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 265647084 + ... + 265647316.

It is an arithmetic number, because the mean of its divisors is an integer number (335896470).

Almost surely, 2^61895797600 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 61895797600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96738183360).

61895797600 is an abundant number, since it is smaller than the sum of its proper divisors (131580569120).

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

61895797600 is a wasteful number, since it uses less digits than its factorization.

61895797600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 58.

The spelling of 61895797600 in words is "sixty-one billion, eight hundred ninety-five million, seven hundred ninety-seven thousand, six hundred".