60073574400 has 864 divisors, whose sum is σ = 254844938880. Its totient is φ = 13589544960.

The previous prime is 60073574377. The next prime is 60073574423. The reversal of 60073574400 is 447537006.

60073574400 is a `hidden beast` number, since 600 + 7 + 3 + 5 + 7 + 4 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (60073574377) and next prime (60073574423).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 619315152 + ... + 619315248.

It is an arithmetic number, because the mean of its divisors is an integer number (294959420).

Almost surely, 2^60073574400 is an apocalyptic number.

60073574400 is a gapful number since it is divisible by the number (60) 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 60073574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127422469440).

60073574400 is an abundant number, since it is smaller than the sum of its proper divisors (194771364480).

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

60073574400 is an frugal number, since it uses more digits than its factorization.

60073574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 60073574400 in words is "sixty billion, seventy-three million, five hundred seventy-four thousand, four hundred".