973745280000 has 880 divisors, whose sum is σ = 3703372791360. Its totient is φ = 252481536000.

The previous prime is 973745279999. The next prime is 973745280019. The reversal of 973745280000 is 82547379.

973745280000 is a `hidden beast` number, since 97 + 37 + 4 + 528 + 0 + 0 + 0 + 0 = 666.

973745280000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 639359239 + ... + 639360761.

It is an arithmetic number, because the mean of its divisors is an integer number (4208378172).

Almost surely, 2^973745280000 is an apocalyptic number.

973745280000 is a gapful number since it is divisible by the number (90) 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 973745280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851686395680).

973745280000 is an abundant number, since it is smaller than the sum of its proper divisors (2729627511360).

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

973745280000 is a wasteful number, since it uses less digits than its factorization.

973745280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 973745280000 in words is "nine hundred seventy-three billion, seven hundred forty-five million, two hundred eighty thousand".