695131295040 has 840 divisors, whose sum is σ = 3097747105992. Its totient is φ = 146661580800.

The previous prime is 695131295039. The next prime is 695131295041. The reversal of 695131295040 is 40592131596.

695131295040 is a `hidden beast` number, since 6 + 9 + 5 + 13 + 129 + 504 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (695131295039) and next prime (695131295041).

It can be written as a sum of positive squares in 4 ways, for example, as 50527846656 + 644603448384 = 224784^2 + 802872^2 .

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (695131295041) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 16489990 + ... + 16532090.

Almost surely, 2^695131295040 is an apocalyptic number.

695131295040 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 695131295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548873552996).

695131295040 is an abundant number, since it is smaller than the sum of its proper divisors (2402615810952).

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

695131295040 is a wasteful number, since it uses less digits than its factorization.

695131295040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42157 (or 42131 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 695131295040 in words is "six hundred ninety-five billion, one hundred thirty-one million, two hundred ninety-five thousand, forty".