7420720487040 has 512 divisors, whose sum is σ = 31617114624000. Its totient is φ = 1606892359680.

The previous prime is 7420720487029. The next prime is 7420720487113. The reversal of 7420720487040 is 407840270247.

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 63 ways as a sum of consecutive naturals, for example, 683805 + ... + 3912675.

It is an arithmetic number, because the mean of its divisors is an integer number (61752177000).

Almost surely, 2^{7420720487040} is an apocalyptic number.

7420720487040 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 7420720487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15808557312000).

7420720487040 is an abundant number, since it is smaller than the sum of its proper divisors (24196394136960).

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

7420720487040 is a wasteful number, since it uses less digits than its factorization.

7420720487040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3228925 (or 3228907 counting only the distinct ones).

The product of its (nonzero) digits is 702464, while the sum is 45.

The spelling of 7420720487040 in words is "seven trillion, four hundred twenty billion, seven hundred twenty million, four hundred eighty-seven thousand, forty".