61302164040 has 896 divisors, whose sum is σ = 237976704000. Its totient is φ = 14090858496.

The previous prime is 61302163981. The next prime is 61302164071. The reversal of 61302164040 is 4046120316.

61302164040 is a `hidden beast` number, since 6 + 13 + 0 + 2 + 1 + 640 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 61302163995 and 61302164013.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 688788316 + ... + 688788404.

It is an arithmetic number, because the mean of its divisors is an integer number (265599000).

Almost surely, 2^61302164040 is an apocalyptic number.

61302164040 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 61302164040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118988352000).

61302164040 is an abundant number, since it is smaller than the sum of its proper divisors (176674539960).

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

61302164040 is a wasteful number, since it uses less digits than its factorization.

61302164040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 61302164040 its reverse (4046120316), we get a palindrome (65348284356).

The spelling of 61302164040 in words is "sixty-one billion, three hundred two million, one hundred sixty-four thousand, forty".