60774292800 has 1008 divisors, whose sum is σ = 249955720560. Its totient is φ = 13955235840.

The previous prime is 60774292759. The next prime is 60774292823. The reversal of 60774292800 is 829247706.

It can be written as a sum of positive squares in 24 ways, for example, as 46108113984 + 14666178816 = 214728^2 + 121104^2 .

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 143 ways as a sum of consecutive naturals, for example, 537825544 + ... + 537825656.

It is an arithmetic number, because the mean of its divisors is an integer number (247971945).

Almost surely, 2^60774292800 is an apocalyptic number.

60774292800 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 60774292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124977860280).

60774292800 is an abundant number, since it is smaller than the sum of its proper divisors (189181427760).

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

60774292800 is a wasteful number, since it uses less digits than its factorization.

60774292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 60774292800 in words is "sixty billion, seven hundred seventy-four million, two hundred ninety-two thousand, eight hundred".