464380038973760 has 896 divisors, whose sum is σ = 1461727243468800. Its totient is φ = 136522864558080.

The previous prime is 464380038973759. The next prime is 464380038973801. The reversal of 464380038973760 is 67379830083464.

It is a congruent number.

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, 3227501501 + ... + 3227645379.

It is an arithmetic number, because the mean of its divisors is an integer number (1631392012800).

Almost surely, 2^{464380038973760} is an apocalyptic number.

464380038973760 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 464380038973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730863621734400).

464380038973760 is an abundant number, since it is smaller than the sum of its proper divisors (997347204495040).

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

464380038973760 is a wasteful number, since it uses less digits than its factorization.

464380038973760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144079 (or 144069 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 68.

The spelling of 464380038973760 in words is "four hundred sixty-four trillion, three hundred eighty billion, thirty-eight million, nine hundred seventy-three thousand, seven hundred sixty".