7450107920640 has 2592 divisors, whose sum is σ = 34259615470080. Its totient is φ = 1460203683840.

The previous prime is 7450107920611. The next prime is 7450107920653. The reversal of 7450107920640 is 460297010547.

7450107920640 is a `hidden beast` number, since 7 + 450 + 107 + 92 + 0 + 6 + 4 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 19973479494 + ... + 19973479866.

It is an arithmetic number, because the mean of its divisors is an integer number (13217444240).

Almost surely, 2^{7450107920640} is an apocalyptic number.

7450107920640 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 7450107920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17129807735040).

7450107920640 is an abundant number, since it is smaller than the sum of its proper divisors (26809507549440).

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

7450107920640 is a wasteful number, since it uses less digits than its factorization.

7450107920640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 7450107920640 in words is "seven trillion, four hundred fifty billion, one hundred seven million, nine hundred twenty thousand, six hundred forty".