1274040768 has 336 divisors, whose sum is σ = 4611648384. Its totient is φ = 305141760.

The previous prime is 1274040767. The next prime is 1274040769. The reversal of 1274040768 is 8670404721.

It is an interprime number because it is at equal distance from previous prime (1274040767) and next prime (1274040769).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1274040767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1344871 + ... + 1345817.

It is an arithmetic number, because the mean of its divisors is an integer number (13725144).

Almost surely, 2^1274040768 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 1274040768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305824192).

1274040768 is an abundant number, since it is smaller than the sum of its proper divisors (3337607616).

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

1274040768 is a wasteful number, since it uses less digits than its factorization.

1274040768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 1274040768 is about 35693.7076807664. The cubic root of 1274040768 is about 1084.0794411717.

The spelling of 1274040768 in words is "one billion, two hundred seventy-four million, forty thousand, seven hundred sixty-eight".