5035927680 has 1024 divisors, whose sum is σ = 22560768000. Its totient is φ = 1035141120.

The previous prime is 5035927669. The next prime is 5035927709. The reversal of 5035927680 is 867295305.

5035927680 = T₆₇₀₄ + T₆₇₀₅ + ... + T₆₉₂₀.

It is a happy number.

5035927680 is a `hidden beast` number, since 50 + 3 + 592 + 7 + 6 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63745881 + ... + 63745959.

It is an arithmetic number, because the mean of its divisors is an integer number (22032000).

Almost surely, 2^5035927680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5035927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11280384000).

5035927680 is an abundant number, since it is smaller than the sum of its proper divisors (17524840320).

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

5035927680 is a wasteful number, since it uses less digits than its factorization.

5035927680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 5035927680 is about 70964.2704464719. The cubic root of 5035927680 is about 1714.0618736307.

The spelling of 5035927680 in words is "five billion, thirty-five million, nine hundred twenty-seven thousand, six hundred eighty".