312509060640 has 1152 divisors, whose sum is σ = 1349112360960. Its totient is φ = 64231833600.

The previous prime is 312509060627. The next prime is 312509060653. The reversal of 312509060640 is 46060905213.

It is a happy number.

312509060640 is a `hidden beast` number, since 3 + 1 + 2 + 5 + 0 + 9 + 0 + 6 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (312509060627) and next prime (312509060653).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 312509060595 and 312509060604.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 472781910 + ... + 472782570.

It is an arithmetic number, because the mean of its divisors is an integer number (1171104480).

Almost surely, 2^312509060640 is an apocalyptic number.

312509060640 is a gapful number since it is divisible by the number (30) 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 312509060640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674556180480).

312509060640 is an abundant number, since it is smaller than the sum of its proper divisors (1036603300320).

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

312509060640 is a wasteful number, since it uses less digits than its factorization.

312509060640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 312509060640 its reverse (46060905213), we get a palindrome (358569965853).

The spelling of 312509060640 in words is "three hundred twelve billion, five hundred nine million, sixty thousand, six hundred forty".