213970947840 has 1008 divisors, whose sum is σ = 855746599680. Its totient is φ = 50881167360.

The previous prime is 213970947833. The next prime is 213970947901. The reversal of 213970947840 is 48749079312.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 376047076 + ... + 376047644.

It is an arithmetic number, because the mean of its divisors is an integer number (848954960).

Almost surely, 2^213970947840 is an apocalyptic number.

213970947840 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 213970947840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427873299840).

213970947840 is an abundant number, since it is smaller than the sum of its proper divisors (641775651840).

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

213970947840 is an equidigital number, since it uses as much as digits as its factorization.

213970947840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 213970947840 in words is "two hundred thirteen billion, nine hundred seventy million, nine hundred forty-seven thousand, eight hundred forty".