607688721432576 has 2112 divisors, whose sum is σ = 2258207366492160. Its totient is φ = 158019228794880.

The previous prime is 607688721432571. The next prime is 607688721432601. The reversal of 607688721432576 is 675234127886706.

607688721432576 is a `hidden beast` number, since 6 + 0 + 7 + 6 + 8 + 8 + 7 + 2 + 1 + 43 + 2 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (607688721432571) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4435684097980 + ... + 4435684098116.

Almost surely, 2^{607688721432576} 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 607688721432576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129103683246080).

607688721432576 is an abundant number, since it is smaller than the sum of its proper divisors (1650518645059584).

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

607688721432576 is an frugal number, since it uses more digits than its factorization.

607688721432576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1137991680, while the sum is 72.

The spelling of 607688721432576 in words is "six hundred seven trillion, six hundred eighty-eight billion, seven hundred twenty-one million, four hundred thirty-two thousand, five hundred seventy-six".