6860178400 has 72 divisors (see below), whose sum is σ = 16784488224. Its totient is φ = 2737996800.

The previous prime is 6860178397. The next prime is 6860178427. The reversal of 6860178400 is 48710686.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 361140 + ... + 379660.

It is an arithmetic number, because the mean of its divisors is an integer number (233117892).

Almost surely, 2^6860178400 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 6860178400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8392244112).

6860178400 is an abundant number, since it is smaller than the sum of its proper divisors (9924309824).

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

6860178400 is a wasteful number, since it uses less digits than its factorization.

6860178400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19004 (or 18991 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 6860178400 is about 82826.1939243860. The cubic root of 6860178400 is about 1900.1088026336.

6860178400 divided by its sum of digits (40) gives a triangular number (171504460 = T₁₈₅₂₀).

The spelling of 6860178400 in words is "six billion, eight hundred sixty million, one hundred seventy-eight thousand, four hundred".