690642800640 has 624 divisors, whose sum is σ = 2638434070272. Its totient is φ = 166026018816.

The previous prime is 690642800599. The next prime is 690642800663. The reversal of 690642800640 is 46008246096.

It is a tau number, because it is divible by the number of its divisors (624).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103031529 + ... + 103038231.

It is an arithmetic number, because the mean of its divisors is an integer number (4228259728).

Almost surely, 2^690642800640 is an apocalyptic number.

690642800640 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 690642800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319217035136).

690642800640 is an abundant number, since it is smaller than the sum of its proper divisors (1947791269632).

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

690642800640 is a wasteful number, since it uses less digits than its factorization.

690642800640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6794 (or 6769 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 690642800640 in words is "six hundred ninety billion, six hundred forty-two million, eight hundred thousand, six hundred forty".