6906772938240 has 1920 divisors, whose sum is σ = 29717897932800. Its totient is φ = 1514411458560.

The previous prime is 6906772938239. The next prime is 6906772938259. The reversal of 6906772938240 is 428392776096.

6906772938240 is a `hidden beast` number, since 6 + 90 + 67 + 72 + 9 + 382 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16483944751 + ... + 16483945169.

It is an arithmetic number, because the mean of its divisors is an integer number (15478071840).

Almost surely, 2^{6906772938240} is an apocalyptic number.

6906772938240 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 6906772938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14858948966400).

6906772938240 is an abundant number, since it is smaller than the sum of its proper divisors (22811124994560).

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

6906772938240 is a wasteful number, since it uses less digits than its factorization.

6906772938240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

It can be divided in two parts, 69067729 and 38240, that added together give a square (69105969 = 8313²).

The spelling of 6906772938240 in words is "six trillion, nine hundred six billion, seven hundred seventy-two million, nine hundred thirty-eight thousand, two hundred forty".