61794969120 has 384 divisors, whose sum is σ = 219640135680. Its totient is φ = 16225090560.

The previous prime is 61794969107. The next prime is 61794969127. The reversal of 61794969120 is 2196949716.

It is a happy number.

61794969120 is a `hidden beast` number, since 61 + 7 + 9 + 496 + 91 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (61794969127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89427975 + ... + 89428665.

It is an arithmetic number, because the mean of its divisors is an integer number (571979520).

Almost surely, 2^61794969120 is an apocalyptic number.

61794969120 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 61794969120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109820067840).

61794969120 is an abundant number, since it is smaller than the sum of its proper divisors (157845166560).

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

61794969120 is a wasteful number, since it uses less digits than its factorization.

61794969120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 61794969120 in words is "sixty-one billion, seven hundred ninety-four million, nine hundred sixty-nine thousand, one hundred twenty".