697576400640 has 864 divisors, whose sum is σ = 2976003628416. Its totient is φ = 147220070400.

The previous prime is 697576400593. The next prime is 697576400641. The reversal of 697576400640 is 46004675796.

697576400640 is a `hidden beast` number, since 6 + 9 + 7 + 576 + 4 + 0 + 0 + 64 + 0 = 666.

It is a super-2 number, since 2×697576400640² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (697576400641) 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, 72651840 + ... + 72661440.

It is an arithmetic number, because the mean of its divisors is an integer number (3444448644).

Almost surely, 2^697576400640 is an apocalyptic number.

697576400640 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 697576400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488001814208).

697576400640 is an abundant number, since it is smaller than the sum of its proper divisors (2278427227776).

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

697576400640 is a wasteful number, since it uses less digits than its factorization.

697576400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9705 (or 9688 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 697576400640 in words is "six hundred ninety-seven billion, five hundred seventy-six million, four hundred thousand, six hundred forty".