8374616490240 has 5760 divisors, whose sum is σ = 44036809850880. Its totient is φ = 1461937766400.

The previous prime is 8374616490197. The next prime is 8374616490283. The reversal of 8374616490240 is 420946164738.

8374616490240 is a `hidden beast` number, since 8 + 3 + 74 + 61 + 6 + 490 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8374616490197) and next prime (8374616490283).

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 61128587452 + ... + 61128587588.

It is an arithmetic number, because the mean of its divisors is an integer number (7645279488).

Almost surely, 2^{8374616490240} is an apocalyptic number.

8374616490240 is a gapful number since it is divisible by the number (80) 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 8374616490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22018404925440).

8374616490240 is an abundant number, since it is smaller than the sum of its proper divisors (35662193360640).

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

8374616490240 is a wasteful number, since it uses less digits than its factorization.

8374616490240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 8374616490240 in words is "eight trillion, three hundred seventy-four billion, six hundred sixteen million, four hundred ninety thousand, two hundred forty".