6377940000 has 600 divisors, whose sum is σ = 24385794048. Its totient is φ = 1632960000.

The previous prime is 6377939987. The next prime is 6377940017. The reversal of 6377940000 is 497736.

It is a tau number, because it is divible by the number of its divisors (600).

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 polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 50219937 + ... + 50220063.

Almost surely, 2^6377940000 is an apocalyptic number.

6377940000 is a gapful number since it is divisible by the number (60) 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 6377940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12192897024).

6377940000 is an abundant number, since it is smaller than the sum of its proper divisors (18007854048).

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

6377940000 is a wasteful number, since it uses less digits than its factorization.

6377940000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 6377940000 is about 79862.0059853245. The cubic root of 6377940000 is about 1854.4998809185.

The spelling of 6377940000 in words is "six billion, three hundred seventy-seven million, nine hundred forty thousand".