464707208291328 has 880 divisors, whose sum is σ = 1515734585861760. Its totient is φ = 141221723111424.

The previous prime is 464707208291317. The next prime is 464707208291329. The reversal of 464707208291328 is 823192802707464.

It is a happy number.

464707208291328 is a `hidden beast` number, since 4 + 6 + 470 + 7 + 2 + 0 + 8 + 29 + 132 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (464707208291329) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11842973533 + ... + 11843012771.

It is an arithmetic number, because the mean of its divisors is an integer number (1722425665752).

Almost surely, 2^{464707208291328} is an apocalyptic number.

464707208291328 is a gapful number since it is divisible by the number (48) 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 464707208291328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757867292930880).

464707208291328 is an abundant number, since it is smaller than the sum of its proper divisors (1051027377570432).

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

464707208291328 is a wasteful number, since it uses less digits than its factorization.

464707208291328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39552 (or 39525 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 464707208291328 in words is "four hundred sixty-four trillion, seven hundred seven billion, two hundred eight million, two hundred ninety-one thousand, three hundred twenty-eight".