7423970400 has 648 divisors, whose sum is σ = 33238669464. Its totient is φ = 1541836800.

The previous prime is 7423970371. The next prime is 7423970423. The reversal of 7423970400 is 40793247.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3879844 + ... + 3881756.

It is an arithmetic number, because the mean of its divisors is an integer number (51294243).

Almost surely, 2^7423970400 is an apocalyptic number.

7423970400 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 7423970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16619334732).

7423970400 is an abundant number, since it is smaller than the sum of its proper divisors (25814699064).

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

7423970400 is a wasteful number, since it uses less digits than its factorization.

7423970400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 7423970400 is about 86162.4651457930. The cubic root of 7423970400 is about 1950.7969917684.

The spelling of 7423970400 in words is "seven billion, four hundred twenty-three million, nine hundred seventy thousand, four hundred".