4719662640 has 560 divisors, whose sum is σ = 20531471616. Its totient is φ = 979776000.

The previous prime is 4719662639. The next prime is 4719662641. The reversal of 4719662640 is 462669174.

4719662640 is a `hidden beast` number, since 4 + 7 + 19 + 6 + 626 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4719662639) and next prime (4719662641).

It is a tau number, because it is divible by the number of its divisors (560).

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

It is not an unprimeable number, because it can be changed into a prime (4719662641) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4490115 + ... + 4491165.

Almost surely, 2^4719662640 is an apocalyptic number.

4719662640 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 4719662640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10265735808).

4719662640 is an abundant number, since it is smaller than the sum of its proper divisors (15811808976).

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

4719662640 is a wasteful number, since it uses less digits than its factorization.

4719662640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 4719662640 is about 68699.8008730739. The cubic root of 4719662640 is about 1677.4013395511.

The spelling of 4719662640 in words is "four billion, seven hundred nineteen million, six hundred sixty-two thousand, six hundred forty".