6906137480172 has 384 divisors, whose sum is σ = 21810700800000. Its totient is φ = 1885431727872.

The previous prime is 6906137480131. The next prime is 6906137480191. The reversal of 6906137480172 is 2710847316096.

6906137480172 is a `hidden beast` number, since 6 + 9 + 0 + 61 + 37 + 480 + 1 + 72 = 666.

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

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, 944877654 + ... + 944884962.

It is an arithmetic number, because the mean of its divisors is an integer number (56798700000).

Almost surely, 2^{6906137480172} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6906137480172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10905350400000).

6906137480172 is an abundant number, since it is smaller than the sum of its proper divisors (14904563319828).

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

6906137480172 is a wasteful number, since it uses less digits than its factorization.

6906137480172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8475 (or 8453 counting only the distinct ones).

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

The spelling of 6906137480172 in words is "six trillion, nine hundred six billion, one hundred thirty-seven million, four hundred eighty thousand, one hundred seventy-two".