60786734400 has 1008 divisors, whose sum is σ = 260736486400. Its totient is φ = 13412044800.

The previous prime is 60786734399. The next prime is 60786734461. The reversal of 60786734400 is 443768706.

60786734400 is a `hidden beast` number, since 60 + 7 + 86 + 73 + 440 + 0 = 666.

60786734400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×60786734400² (a number of 22 digits) contains 22 as substring.

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, 153115002 + ... + 153115398.

Almost surely, 2^60786734400 is an apocalyptic number.

60786734400 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 60786734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130368243200).

60786734400 is an abundant number, since it is smaller than the sum of its proper divisors (199949752000).

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

60786734400 is a wasteful number, since it uses less digits than its factorization.

60786734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 60786734400 in words is "sixty billion, seven hundred eighty-six million, seven hundred thirty-four thousand, four hundred".