7490883400 has 768 divisors, whose sum is σ = 25918341120. Its totient is φ = 1935360000.

The previous prime is 7490883391. The next prime is 7490883403. The reversal of 7490883400 is 43880947.

It is a super-2 number, since 2×7490883400² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7490883403) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 105505365 + ... + 105505435.

It is an arithmetic number, because the mean of its divisors is an integer number (33747840).

Almost surely, 2^7490883400 is an apocalyptic number.

7490883400 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 7490883400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12959170560).

7490883400 is an abundant number, since it is smaller than the sum of its proper divisors (18427457720).

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

7490883400 is a wasteful number, since it uses less digits than its factorization.

7490883400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 7490883400 is about 86549.8896590862. The cubic root of 7490883400 is about 1956.6403816249.

The spelling of 7490883400 in words is "seven billion, four hundred ninety million, eight hundred eighty-three thousand, four hundred".