61819240896 has 168 divisors, whose sum is σ = 205940192640. Its totient is φ = 17363206656.

The previous prime is 61819240871. The next prime is 61819240897. The reversal of 61819240896 is 69804291816.

61819240896 is a `hidden beast` number, since 61 + 8 + 1 + 92 + 408 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61819240897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107955 + ... + 367821.

It is an arithmetic number, because the mean of its divisors is an integer number (1225834480).

Almost surely, 2^61819240896 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 61819240896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102970096320).

61819240896 is an abundant number, since it is smaller than the sum of its proper divisors (144120951744).

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

61819240896 is a wasteful number, since it uses less digits than its factorization.

61819240896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259951 (or 259938 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 61819240896 in words is "sixty-one billion, eight hundred nineteen million, two hundred forty thousand, eight hundred ninety-six".