6742967040 has 576 divisors, whose sum is σ = 26490240000. Its totient is φ = 1615527936.

The previous prime is 6742966973. The next prime is 6742967081. The reversal of 6742967040 is 407692476.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13512711 + ... + 13513209.

It is an arithmetic number, because the mean of its divisors is an integer number (45990000).

Almost surely, 2^6742967040 is an apocalyptic number.

6742967040 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 6742967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13245120000).

6742967040 is an abundant number, since it is smaller than the sum of its proper divisors (19747272960).

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

6742967040 is a wasteful number, since it uses less digits than its factorization.

6742967040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 6742967040 is about 82115.5712395645. The cubic root of 6742967040 is about 1889.2249782790.

The spelling of 6742967040 in words is "six billion, seven hundred forty-two million, nine hundred sixty-seven thousand, forty".