216073807740 has 384 divisors, whose sum is σ = 803851776000. Its totient is φ = 47112164352.

The previous prime is 216073807727. The next prime is 216073807751. The reversal of 216073807740 is 47708370612.

216073807740 is a `hidden beast` number, since 2 + 1 + 607 + 38 + 0 + 7 + 7 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33816466 + ... + 33822854.

It is an arithmetic number, because the mean of its divisors is an integer number (2093364000).

Almost surely, 2^216073807740 is an apocalyptic number.

216073807740 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 216073807740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401925888000).

216073807740 is an abundant number, since it is smaller than the sum of its proper divisors (587777968260).

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

216073807740 is a wasteful number, since it uses less digits than its factorization.

216073807740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6826 (or 6818 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 216073807740 in words is "two hundred sixteen billion, seventy-three million, eight hundred seven thousand, seven hundred forty".