610719728640 has 1408 divisors, whose sum is σ = 2512838246400. Its totient is φ = 123325120512.

The previous prime is 610719728629. The next prime is 610719728651. The reversal of 610719728640 is 46827917016.

It is an interprime number because it is at equal distance from previous prime (610719728629) and next prime (610719728651).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3068943261 + ... + 3068943459.

Almost surely, 2^610719728640 is an apocalyptic number.

610719728640 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 610719728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256419123200).

610719728640 is an abundant number, since it is smaller than the sum of its proper divisors (1902118517760).

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

610719728640 is a wasteful number, since it uses less digits than its factorization.

610719728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 610719728640 in words is "six hundred ten billion, seven hundred nineteen million, seven hundred twenty-eight thousand, six hundred forty".