60632906400 has 1440 divisors, whose sum is σ = 262931296320. Its totient is φ = 13548902400.

The previous prime is 60632906377. The next prime is 60632906461. The reversal of 60632906400 is 460923606.

60632906400 is a `hidden beast` number, since 6 + 0 + 6 + 3 + 2 + 9 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×60632906400² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1638727182 + ... + 1638727218.

It is an arithmetic number, because the mean of its divisors is an integer number (182591178).

Almost surely, 2^60632906400 is an apocalyptic number.

60632906400 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 60632906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131465648160).

60632906400 is an abundant number, since it is smaller than the sum of its proper divisors (202298389920).

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

60632906400 is a wasteful number, since it uses less digits than its factorization.

60632906400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 60632906400 in words is "sixty billion, six hundred thirty-two million, nine hundred six thousand, four hundred".