213476028480 has 672 divisors, whose sum is σ = 913410546048. Its totient is φ = 44959334400.

The previous prime is 213476028439. The next prime is 213476028481. The reversal of 213476028480 is 84820674312.

It is a happy number.

213476028480 is a `hidden beast` number, since 2 + 1 + 34 + 7 + 602 + 8 + 4 + 8 + 0 = 666.

It is a super-2 number, since 2×213476028480² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (213476028481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6986035 + ... + 7016525.

It is an arithmetic number, because the mean of its divisors is an integer number (1359241884).

Almost surely, 2^213476028480 is an apocalyptic number.

213476028480 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 213476028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456705273024).

213476028480 is an abundant number, since it is smaller than the sum of its proper divisors (699934517568).

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

213476028480 is a wasteful number, since it uses less digits than its factorization.

213476028480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30555 (or 30542 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 213476028480 in words is "two hundred thirteen billion, four hundred seventy-six million, twenty-eight thousand, four hundred eighty".