610943155863040 has 1920 divisors, whose sum is σ = 2106923926238208. Its totient is φ = 164022410280960.

The previous prime is 610943155863017. The next prime is 610943155863041. The reversal of 610943155863040 is 40368551349016.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610943155863041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 61980633792 + ... + 61980643648.

Almost surely, 2^{610943155863040} 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 610943155863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053461963119104).

610943155863040 is an abundant number, since it is smaller than the sum of its proper divisors (1495980770375168).

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

610943155863040 is a wasteful number, since it uses less digits than its factorization.

610943155863040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10016 (or 9981 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 55.

The spelling of 610943155863040 in words is "six hundred ten trillion, nine hundred forty-three billion, one hundred fifty-five million, eight hundred sixty-three thousand, forty".