4077696000 has 704 divisors, whose sum is σ = 16308923904. Its totient is φ = 884736000.

The previous prime is 4077695989. The next prime is 4077696019. The reversal of 4077696000 is 6967704.

It is a self number, because there is not a number n which added to its sum of digits gives 4077696000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99455980 + ... + 99456020.

Almost surely, 2^4077696000 is an apocalyptic number.

4077696000 is a gapful number since it is divisible by the number (40) 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 4077696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8154461952).

4077696000 is an abundant number, since it is smaller than the sum of its proper divisors (12231227904).

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

4077696000 is a wasteful number, since it uses less digits than its factorization.

4077696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 4077696000 is about 63856.8398842285. The cubic root of 4077696000 is about 1597.6131076529.

The spelling of 4077696000 in words is "four billion, seventy-seven million, six hundred ninety-six thousand".