7406621503120 has 480 divisors, whose sum is σ = 20759781288960. Its totient is φ = 2449136471040.

The previous prime is 7406621503097. The next prime is 7406621503139. The reversal of 7406621503120 is 213051266047.

It is a self number, because there is not a number n which added to its sum of digits gives 7406621503120.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3727538767 + ... + 3727540753.

It is an arithmetic number, because the mean of its divisors is an integer number (43249544352).

Almost surely, 2^{7406621503120} is an apocalyptic number.

7406621503120 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 7406621503120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10379890644480).

7406621503120 is an abundant number, since it is smaller than the sum of its proper divisors (13353159785840).

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

7406621503120 is a wasteful number, since it uses less digits than its factorization.

7406621503120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2371 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

Adding to 7406621503120 its reverse (213051266047), we get a palindrome (7619672769167).

The spelling of 7406621503120 in words is "seven trillion, four hundred six billion, six hundred twenty-one million, five hundred three thousand, one hundred twenty".