7138378800 has 960 divisors, whose sum is σ = 30998016000. Its totient is φ = 1557964800.

The previous prime is 7138378799. The next prime is 7138378813. The reversal of 7138378800 is 88738317.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 151880377 + ... + 151880423.

It is an arithmetic number, because the mean of its divisors is an integer number (32289600).

Almost surely, 2^7138378800 is an apocalyptic number.

7138378800 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 7138378800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15499008000).

7138378800 is an abundant number, since it is smaller than the sum of its proper divisors (23859637200).

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

7138378800 is a wasteful number, since it uses less digits than its factorization.

7138378800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 7138378800 is about 84488.9270851512. The cubic root of 7138378800 is about 1925.4542178844.

The spelling of 7138378800 in words is "seven billion, one hundred thirty-eight million, three hundred seventy-eight thousand, eight hundred".