7963385400 has 480 divisors, whose sum is σ = 29016535680. Its totient is φ = 2021760000.

The previous prime is 7963385399. The next prime is 7963385401. The reversal of 7963385400 is 45833697.

7963385400 is a `hidden beast` number, since 7 + 9 + 633 + 8 + 5 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7963385399) and next prime (7963385401).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7963385401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 50722122 + ... + 50722278.

It is an arithmetic number, because the mean of its divisors is an integer number (60451116).

Almost surely, 2^7963385400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7963385400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14508267840).

7963385400 is an abundant number, since it is smaller than the sum of its proper divisors (21053150280).

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

7963385400 is a wasteful number, since it uses less digits than its factorization.

7963385400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 7963385400 is about 89237.8025278525. The cubic root of 7963385400 is about 1996.9441164994.

The spelling of 7963385400 in words is "seven billion, nine hundred sixty-three million, three hundred eighty-five thousand, four hundred".