4919372640 has 864 divisors, whose sum is σ = 21834199296. Its totient is φ = 998645760.

The previous prime is 4919372639. The next prime is 4919372651. The reversal of 4919372640 is 462739194.

It is a happy number.

4919372640 is a `hidden beast` number, since 491 + 93 + 72 + 6 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28435594 + ... + 28435766.

It is an arithmetic number, because the mean of its divisors is an integer number (25271064).

Almost surely, 2^4919372640 is an apocalyptic number.

4919372640 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 4919372640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10917099648).

4919372640 is an abundant number, since it is smaller than the sum of its proper divisors (16914826656).

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

4919372640 is a wasteful number, since it uses less digits than its factorization.

4919372640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 4919372640 is about 70138.2394988640. The cubic root of 4919372640 is about 1700.7347043451.

The spelling of 4919372640 in words is "four billion, nine hundred nineteen million, three hundred seventy-two thousand, six hundred forty".