4355072640 has 192 divisors, whose sum is σ = 15359535360. Its totient is φ = 1136572416.

The previous prime is 4355072629. The next prime is 4355072663. The reversal of 4355072640 is 462705534.

4355072640 is a `hidden beast` number, since 4 + 3 + 5 + 5 + 0 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4355072595 and 4355072604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262677 + ... + 278763.

It is an arithmetic number, because the mean of its divisors is an integer number (79997580).

Almost surely, 2^4355072640 is an apocalyptic number.

4355072640 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 4355072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7679767680).

4355072640 is an abundant number, since it is smaller than the sum of its proper divisors (11004462720).

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

4355072640 is a wasteful number, since it uses less digits than its factorization.

4355072640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16159 (or 16144 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 4355072640 is about 65992.9741714980. The cubic root of 4355072640 is about 1633.0461861819.

The spelling of 4355072640 in words is "four billion, three hundred fifty-five million, seventy-two thousand, six hundred forty".