7406369997840 has 480 divisors, whose sum is σ = 28495476172800. Its totient is φ = 1772751951360.

The previous prime is 7406369997821. The next prime is 7406369997841. The reversal of 7406369997840 is 487999636047.

7406369997840 is a `hidden beast` number, since 7 + 406 + 3 + 6 + 99 + 97 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (7406369997841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16674151 + ... + 17112569.

It is an arithmetic number, because the mean of its divisors is an integer number (59365575360).

Almost surely, 2^{7406369997840} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7406369997840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14247738086400).

7406369997840 is an abundant number, since it is smaller than the sum of its proper divisors (21089106174960).

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

7406369997840 is a wasteful number, since it uses less digits than its factorization.

7406369997840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438537 (or 438519 counting only the distinct ones).

The product of its (nonzero) digits is 493807104, while the sum is 72.

The spelling of 7406369997840 in words is "seven trillion, four hundred six billion, three hundred sixty-nine million, nine hundred ninety-seven thousand, eight hundred forty".