61895268720 has 720 divisors, whose sum is σ = 239444674560. Its totient is φ = 14828064768.

The previous prime is 61895268713. The next prime is 61895268731. The reversal of 61895268720 is 2786259816.

61895268720 is a `hidden beast` number, since 6 + 18 + 9 + 526 + 87 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 129217441 + ... + 129217919.

It is an arithmetic number, because the mean of its divisors is an integer number (332562048).

Almost surely, 2^61895268720 is an apocalyptic number.

61895268720 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 61895268720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119722337280).

61895268720 is an abundant number, since it is smaller than the sum of its proper divisors (177549405840).

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

61895268720 is a wasteful number, since it uses less digits than its factorization.

61895268720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 61895268720 in words is "sixty-one billion, eight hundred ninety-five million, two hundred sixty-eight thousand, seven hundred twenty".