6749917352640 has 4032 divisors, whose sum is σ = 33220680450048. Its totient is φ = 1237391769600.

The previous prime is 6749917352621. The next prime is 6749917352653. The reversal of 6749917352640 is 462537199476.

6749917352640 is a `hidden beast` number, since 6 + 7 + 4 + 99 + 17 + 3 + 526 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×6749917352640² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 30268687569 + ... + 30268687791.

It is an arithmetic number, because the mean of its divisors is an integer number (8239256064).

Almost surely, 2^{6749917352640} is an apocalyptic number.

6749917352640 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 6749917352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16610340225024).

6749917352640 is an abundant number, since it is smaller than the sum of its proper divisors (26470763097408).

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

6749917352640 is a wasteful number, since it uses less digits than its factorization.

6749917352640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 6749917352640 in words is "six trillion, seven hundred forty-nine billion, nine hundred seventeen million, three hundred fifty-two thousand, six hundred forty".