6737487760872 has 384 divisors, whose sum is σ = 21320197920000. Its totient is φ = 1967598420480.

The previous prime is 6737487760841. The next prime is 6737487761009. The reversal of 6737487760872 is 2780677847376.

6737487760872 is a `hidden beast` number, since 6 + 7 + 3 + 7 + 4 + 8 + 7 + 7 + 608 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 6737487760872.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 422166829 + ... + 422182787.

It is an arithmetic number, because the mean of its divisors is an integer number (55521348750).

Almost surely, 2^{6737487760872} 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 6737487760872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10660098960000).

6737487760872 is an abundant number, since it is smaller than the sum of its proper divisors (14582710159128).

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

6737487760872 is a wasteful number, since it uses less digits than its factorization.

6737487760872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16582 (or 16561 counting only the distinct ones).

The product of its (nonzero) digits is 929359872, while the sum is 72.

The spelling of 6737487760872 in words is "six trillion, seven hundred thirty-seven billion, four hundred eighty-seven million, seven hundred sixty thousand, eight hundred seventy-two".