6720018215040 has 2560 divisors, whose sum is σ = 28591797104640. Its totient is φ = 1488692183040.

The previous prime is 6720018215017. The next prime is 6720018215051. The reversal of 6720018215040 is 405128100276.

6720018215040 is a `hidden beast` number, since 6 + 72 + 0 + 0 + 1 + 82 + 1 + 504 + 0 = 666.

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 = 6720018214986 and 6720018215004.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 35183341345 + ... + 35183341535.

It is an arithmetic number, because the mean of its divisors is an integer number (11168670744).

Almost surely, 2^{6720018215040} is an apocalyptic number.

6720018215040 is a gapful number since it is divisible by the number (60) 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 6720018215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14295898552320).

6720018215040 is an abundant number, since it is smaller than the sum of its proper divisors (21871778889600).

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

6720018215040 is a wasteful number, since it uses less digits than its factorization.

6720018215040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 6720018215040 in words is "six trillion, seven hundred twenty billion, eighteen million, two hundred fifteen thousand, forty".