1560440678976 has 567 divisors, whose sum is σ = 4898424522537. Its totient is φ = 474886748160.

The previous prime is 1560440678971. The next prime is 1560440678981. The reversal of 1560440678976 is 6798760440651.

It is a happy number.

The square root of 1560440678976 is 1249176.

It is a perfect power (a square), and thus also a powerful number.

1560440678976 is a `hidden beast` number, since 1 + 5 + 60 + 440 + 67 + 8 + 9 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (1560440678971) and next prime (1560440678981).

It can be written as a sum of positive squares in only one way, i.e., 885782145600 + 674658533376 = 941160^2 + 821376^2 .

It is a super-2 number, since 2×1560440678976² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1560440678971) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 21375899676 + ... + 21375899748.

Almost surely, 2^{1560440678976} is an apocalyptic number.

1560440678976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1560440678976 is the 1249176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1560440678976

1560440678976 is an abundant number, since it is smaller than the sum of its proper divisors (3337983843561).

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

1560440678976 is an equidigital number, since it uses as much as digits as its factorization.

1560440678976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 1560440678976 in words is "one trillion, five hundred sixty billion, four hundred forty million, six hundred seventy-eight thousand, nine hundred seventy-six".