640710777600 has 540 divisors, whose sum is σ = 2445480354240. Its totient is φ = 165340569600.

The previous prime is 640710777593. The next prime is 640710777647. The reversal of 640710777600 is 6777017046.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16050466 + ... + 16090334.

Almost surely, 2^640710777600 is an apocalyptic number.

640710777600 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 640710777600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222740177120).

640710777600 is an abundant number, since it is smaller than the sum of its proper divisors (1804769576640).

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

640710777600 is a wasteful number, since it uses less digits than its factorization.

640710777600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39938 (or 39910 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The spelling of 640710777600 in words is "six hundred forty billion, seven hundred ten million, seven hundred seventy-seven thousand, six hundred".