4678762000 has 80 divisors (see below), whose sum is σ = 12341781504. Its totient is φ = 1701360000.

The previous prime is 4678761979. The next prime is 4678762007. The reversal of 4678762000 is 2678764.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (4678762007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84336 + ... + 128335.

Almost surely, 2^4678762000 is an apocalyptic number.

4678762000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4678762000 is an abundant number, since it is smaller than the sum of its proper divisors (7663019504).

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

4678762000 is a wasteful number, since it uses less digits than its factorization.

4678762000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212705 (or 212689 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 4678762000 is about 68401.4765922491. The cubic root of 4678762000 is about 1672.5418163455.

The spelling of 4678762000 in words is "four billion, six hundred seventy-eight million, seven hundred sixty-two thousand".