4640015520000 has 1620 divisors, whose sum is σ = 19783164360960. Its totient is φ = 1024220160000.

The previous prime is 4640015519941. The next prime is 4640015520061. The reversal of 4640015520000 is 255100464.

4640015520000 is a `hidden beast` number, since 4 + 6 + 400 + 1 + 55 + 200 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 9686879761 + ... + 9686880239.

Almost surely, 2^{4640015520000} is an apocalyptic number.

4640015520000 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 4640015520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9891582180480).

4640015520000 is an abundant number, since it is smaller than the sum of its proper divisors (15143148840960).

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

4640015520000 is an equidigital number, since it uses as much as digits as its factorization.

4640015520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 4640015520000 in words is "four trillion, six hundred forty billion, fifteen million, five hundred twenty thousand".