7674742333440 has 3360 divisors, whose sum is σ = 36079596745920. Its totient is φ = 1495472799744.

The previous prime is 7674742333387. The next prime is 7674742333487. The reversal of 7674742333440 is 443332474767.

7674742333440 is a `hidden beast` number, since 7 + 67 + 4 + 7 + 4 + 233 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×7674742333440² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 264646287346 + ... + 264646287374.

It is an arithmetic number, because the mean of its divisors is an integer number (10737975222).

Almost surely, 2^{7674742333440} is an apocalyptic number.

7674742333440 is a gapful number since it is divisible by the number (70) 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 7674742333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18039798372960).

7674742333440 is an abundant number, since it is smaller than the sum of its proper divisors (28404854412480).

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

7674742333440 is a wasteful number, since it uses less digits than its factorization.

7674742333440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 54.

The spelling of 7674742333440 in words is "seven trillion, six hundred seventy-four billion, seven hundred forty-two million, three hundred thirty-three thousand, four hundred forty".