7423964100 has 216 divisors, whose sum is σ = 27046393920. Its totient is φ = 1668061440.

The previous prime is 7423964087. The next prime is 7423964111. The reversal of 7423964100 is 14693247.

7423964100 is a `hidden beast` number, since 7 + 4 + 2 + 3 + 9 + 641 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 361714 + ... + 381686.

Almost surely, 2^7423964100 is an apocalyptic number.

7423964100 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 7423964100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13523196960).

7423964100 is an abundant number, since it is smaller than the sum of its proper divisors (19622429820).

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

7423964100 is a wasteful number, since it uses less digits than its factorization.

7423964100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20059 (or 20049 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 7423964100 is about 86162.4285869427. The cubic root of 7423964100 is about 1950.7964399511.

It can be divided in two parts, 742396 and 4100, that added together give a square (746496 = 864²).

The spelling of 7423964100 in words is "seven billion, four hundred twenty-three million, nine hundred sixty-four thousand, one hundred".