801543976648704 has 287 divisors, whose sum is σ = 2403532418317243. Its totient is φ = 267181325549568.

The previous prime is 801543976648669. The next prime is 801543976648717. The reversal of 801543976648704 is 407846679345108.

The square root of 801543976648704 is 28311552.

It is a perfect power (a square), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (4!)⁶ ⋅ (2!)²².

801543976648704 is a `hidden beast` number, since 8 + 0 + 1 + 54 + 3 + 97 + 6 + 6 + 487 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 267181325549567 + 267181325549568 + 267181325549569.

Almost surely, 2^{801543976648704} is an apocalyptic number.

801543976648704 is the 28311552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 801543976648704

801543976648704 is an abundant number, since it is smaller than the sum of its proper divisors (1601988441668539).

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

801543976648704 is an frugal number, since it uses more digits than its factorization.

801543976648704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 801543976648704 in words is "eight hundred one trillion, five hundred forty-three billion, nine hundred seventy-six million, six hundred forty-eight thousand, seven hundred four".