212360480640 has 1152 divisors, whose sum is σ = 944333601120. Its totient is φ = 43475927040.

The previous prime is 212360480621. The next prime is 212360480693. The reversal of 212360480640 is 46084063212.

212360480640 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 6 + 0 + 4 + 8 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 212360480595 and 212360480604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 226638252 + ... + 226639188.

Almost surely, 2^212360480640 is an apocalyptic number.

212360480640 is a gapful number since it is divisible by the number (20) 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 212360480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472166800560).

212360480640 is an abundant number, since it is smaller than the sum of its proper divisors (731973120480).

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

212360480640 is a wasteful number, since it uses less digits than its factorization.

212360480640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 212360480640 in words is "two hundred twelve billion, three hundred sixty million, four hundred eighty thousand, six hundred forty".