4815767040 has 480 divisors, whose sum is σ = 18271401984. Its totient is φ = 1078640640.

The previous prime is 4815767023. The next prime is 4815767119. The reversal of 4815767040 is 407675184.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×4815767040² = 46383224367100723200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4815766983 and 4815767001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25213345 + ... + 25213535.

Almost surely, 2^4815767040 is an apocalyptic number.

4815767040 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 4815767040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9135700992).

4815767040 is an abundant number, since it is smaller than the sum of its proper divisors (13455634944).

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

4815767040 is a wasteful number, since it uses less digits than its factorization.

4815767040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 4815767040 is about 69395.7278223955. The cubic root of 4815767040 is about 1688.7103170179.

The spelling of 4815767040 in words is "four billion, eight hundred fifteen million, seven hundred sixty-seven thousand, forty".