610627252148928 has 896 divisors, whose sum is σ = 2079703294423040. Its totient is φ = 172088349327360.

The previous prime is 610627252148923. The next prime is 610627252148939. The reversal of 610627252148928 is 829841252726016.

610627252148928 is a `hidden beast` number, since 6 + 1 + 0 + 6 + 2 + 7 + 2 + 521 + 4 + 89 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (610627252148923) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 591120282300 + ... + 591120283332.

Almost surely, 2^{610627252148928} 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 610627252148928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039851647211520).

610627252148928 is an abundant number, since it is smaller than the sum of its proper divisors (1469076042274112).

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

610627252148928 is a wasteful number, since it uses less digits than its factorization.

610627252148928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2582 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 610627252148928 in words is "six hundred ten trillion, six hundred twenty-seven billion, two hundred fifty-two million, one hundred forty-eight thousand, nine hundred twenty-eight".