608575607640 has 1536 divisors, whose sum is σ = 2797325798400. Its totient is φ = 115680337920.

The previous prime is 608575607639. The next prime is 608575607657. The reversal of 608575607640 is 46706575806.

608575607640 is a `hidden beast` number, since 6 + 0 + 8 + 5 + 7 + 560 + 76 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1036755427 + ... + 1036756013.

It is an arithmetic number, because the mean of its divisors is an integer number (1821175650).

Almost surely, 2^608575607640 is an apocalyptic number.

608575607640 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 608575607640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398662899200).

608575607640 is an abundant number, since it is smaller than the sum of its proper divisors (2188750190760).

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

608575607640 is a wasteful number, since it uses less digits than its factorization.

608575607640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 608575607640 in words is "six hundred eight billion, five hundred seventy-five million, six hundred seven thousand, six hundred forty".