61819168320 has 1008 divisors, whose sum is σ = 275220062208. Its totient is φ = 12610805760.

The previous prime is 61819168219. The next prime is 61819168337. The reversal of 61819168320 is 2386191816.

61819168320 is a `hidden beast` number, since 6 + 181 + 91 + 68 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 56870817 + ... + 56871903.

It is an arithmetic number, because the mean of its divisors is an integer number (273035776).

Almost surely, 2^61819168320 is an apocalyptic number.

61819168320 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 61819168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137610031104).

61819168320 is an abundant number, since it is smaller than the sum of its proper divisors (213400893888).

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

61819168320 is a wasteful number, since it uses less digits than its factorization.

61819168320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 61819168320 in words is "sixty-one billion, eight hundred nineteen million, one hundred sixty-eight thousand, three hundred twenty".