610961708448 has 1536 divisors, whose sum is σ = 2427715584000. Its totient is φ = 144984453120.

The previous prime is 610961708447. The next prime is 610961708449. The reversal of 610961708448 is 844807169016.

610961708448 is a `hidden beast` number, since 6 + 10 + 9 + 617 + 0 + 8 + 4 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (610961708447) and next prime (610961708449).

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

It is a junction number, because it is equal to n+sod(n) for n = 610961708394 and 610961708403.

It is not an unprimeable number, because it can be changed into a prime (610961708447) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3658453261 + ... + 3658453427.

It is an arithmetic number, because the mean of its divisors is an integer number (1580544000).

Almost surely, 2^610961708448 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 610961708448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213857792000).

610961708448 is an abundant number, since it is smaller than the sum of its proper divisors (1816753875552).

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

610961708448 is a wasteful number, since it uses less digits than its factorization.

610961708448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 610961708448 in words is "six hundred ten billion, nine hundred sixty-one million, seven hundred eight thousand, four hundred forty-eight".