610248993120 has 384 divisors, whose sum is σ = 2301791385600. Its totient is φ = 150109231104.

The previous prime is 610248993119. The next prime is 610248993127. The reversal of 610248993120 is 21399842016.

610248993120 is a `hidden beast` number, since 6 + 1 + 0 + 248 + 99 + 312 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610248993127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105521749 + ... + 105527531.

It is an arithmetic number, because the mean of its divisors is an integer number (5994248400).

Almost surely, 2^610248993120 is an apocalyptic number.

610248993120 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 610248993120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150895692800).

610248993120 is an abundant number, since it is smaller than the sum of its proper divisors (1691542392480).

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

610248993120 is a wasteful number, since it uses less digits than its factorization.

610248993120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7699 (or 7685 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 610248993120 in words is "six hundred ten billion, two hundred forty-eight million, nine hundred ninety-three thousand, one hundred twenty".