7406845546240 has 576 divisors, whose sum is σ = 21489636188160. Its totient is φ = 2391175987200.

The previous prime is 7406845546201. The next prime is 7406845546241. The reversal of 7406845546240 is 426455486047.

It is a super-2 number, since 2×7406845546240² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7406845546241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9784471942 + ... + 9784472698.

It is an arithmetic number, because the mean of its divisors is an integer number (37308396160).

Almost surely, 2^{7406845546240} is an apocalyptic number.

7406845546240 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 7406845546240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10744818094080).

7406845546240 is an abundant number, since it is smaller than the sum of its proper divisors (14082790641920).

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

7406845546240 is a wasteful number, since it uses less digits than its factorization.

7406845546240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 55.

The spelling of 7406845546240 in words is "seven trillion, four hundred six billion, eight hundred forty-five million, five hundred forty-six thousand, two hundred forty".