312628477767840 has 480 divisors, whose sum is σ = 1188243786191616. Its totient is φ = 76951129282560.

The previous prime is 312628477767839. The next prime is 312628477767847. The reversal of 312628477767840 is 48767774826213.

It is a happy number.

312628477767840 is a `hidden beast` number, since 3 + 1 + 2 + 6 + 2 + 8 + 477 + 76 + 7 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×312628477767840² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (312628477767847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7221536595 + ... + 7221579885.

Almost surely, 2^{312628477767840} is an apocalyptic number.

312628477767840 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 312628477767840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594121893095808).

312628477767840 is an abundant number, since it is smaller than the sum of its proper divisors (875615308423776).

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

312628477767840 is a wasteful number, since it uses less digits than its factorization.

312628477767840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86194 (or 86177 counting only the distinct ones).

The product of its (nonzero) digits is 1062125568, while the sum is 72.

The spelling of 312628477767840 in words is "three hundred twelve trillion, six hundred twenty-eight billion, four hundred seventy-seven million, seven hundred sixty-seven thousand, eight hundred forty".