610733897136 has 400 divisors, whose sum is σ = 2010015541248. Its totient is φ = 177348787200.

The previous prime is 610733897113. The next prime is 610733897143. The reversal of 610733897136 is 631798337016.

610733897136 is a `hidden beast` number, since 61 + 0 + 73 + 389 + 7 + 136 = 666.

It is a super-2 number, since 2×610733897136² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45512700 + ... + 45526116.

Almost surely, 2^610733897136 is an apocalyptic number.

610733897136 is a gapful number since it is divisible by the number (66) 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 610733897136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005007770624).

610733897136 is an abundant number, since it is smaller than the sum of its proper divisors (1399281644112).

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

610733897136 is a wasteful number, since it uses less digits than its factorization.

610733897136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13582 (or 13567 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 610733897136 in words is "six hundred ten billion, seven hundred thirty-three million, eight hundred ninety-seven thousand, one hundred thirty-six".