60974858649600 has 2025 divisors, whose sum is σ = 257913753133673. Its totient is φ = 13769193553920.

The previous prime is 60974858649589. The next prime is 60974858649689. The reversal of 60974858649600 is 694685847906.

The square root of 60974858649600 is 7808640.

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

60974858649600 is a `hidden beast` number, since 6 + 0 + 9 + 7 + 4 + 8 + 5 + 8 + 6 + 4 + 9 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21950949113856 + 39023909535744 = 4685184^2 + 6246912^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 734636851159 + ... + 734636851241.

Almost surely, 2^{60974858649600} is an apocalyptic number.

60974858649600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

60974858649600 is the 7808640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60974858649600

60974858649600 is an abundant number, since it is smaller than the sum of its proper divisors (196938894484073).

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

60974858649600 is an frugal number, since it uses more digits than its factorization.

60974858649600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 60974858649600 in words is "sixty trillion, nine hundred seventy-four billion, eight hundred fifty-eight million, six hundred forty-nine thousand, six hundred".