7374293645040 has 1920 divisors, whose sum is σ = 32851497369600. Its totient is φ = 1441394196480.

The previous prime is 7374293645029. The next prime is 7374293645101. The reversal of 7374293645040 is 405463924737.

It is a happy number.

7374293645040 is a `hidden beast` number, since 7 + 3 + 7 + 42 + 93 + 6 + 4 + 504 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8544951649 + ... + 8544952511.

It is an arithmetic number, because the mean of its divisors is an integer number (17110154880).

Almost surely, 2^{7374293645040} is an apocalyptic number.

7374293645040 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 7374293645040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16425748684800).

7374293645040 is an abundant number, since it is smaller than the sum of its proper divisors (25477203724560).

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

7374293645040 is a wasteful number, since it uses less digits than its factorization.

7374293645040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 7374293645040 in words is "seven trillion, three hundred seventy-four billion, two hundred ninety-three million, six hundred forty-five thousand, forty".