61895715840 has 1232 divisors, whose sum is σ = 268054944768. Its totient is φ = 13401096192.

The previous prime is 61895715821. The next prime is 61895715851. The reversal of 61895715840 is 4851759816.

It is a happy number.

61895715840 is a `hidden beast` number, since 6 + 1 + 8 + 9 + 57 + 1 + 584 + 0 = 666.

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 111 ways as a sum of consecutive naturals, for example, 600929229 + ... + 600929331.

Almost surely, 2^61895715840 is an apocalyptic number.

61895715840 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 61895715840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134027472384).

61895715840 is an abundant number, since it is smaller than the sum of its proper divisors (206159228928).

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

61895715840 is a wasteful number, since it uses less digits than its factorization.

61895715840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 61895715840 in words is "sixty-one billion, eight hundred ninety-five million, seven hundred fifteen thousand, eight hundred forty".