7438496407650 has 1536 divisors, whose sum is σ = 27536077578240. Its totient is φ = 1431779328000.

The previous prime is 7438496407633. The next prime is 7438496407663. The reversal of 7438496407650 is 567046948347.

It is a happy number.

7438496407650 is a `hidden beast` number, since 7 + 4 + 3 + 84 + 96 + 407 + 65 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 6780761902 + ... + 6780762998.

It is an arithmetic number, because the mean of its divisors is an integer number (17927133840).

Almost surely, 2^{7438496407650} is an apocalyptic number.

7438496407650 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7438496407650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13768038789120).

7438496407650 is an abundant number, since it is smaller than the sum of its proper divisors (20097581170590).

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

7438496407650 is a wasteful number, since it uses less digits than its factorization.

7438496407650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 7438496407650 in words is "seven trillion, four hundred thirty-eight billion, four hundred ninety-six million, four hundred seven thousand, six hundred fifty".