60061478400 has 1920 divisors, whose sum is σ = 286908779520. Its totient is φ = 11943936000.

The previous prime is 60061478377. The next prime is 60061478401. The reversal of 60061478400 is 487416006.

60061478400 is a `hidden beast` number, since 600 + 6 + 1 + 4 + 7 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60061478401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 984614370 + ... + 984614430.

It is an arithmetic number, because the mean of its divisors is an integer number (149431656).

Almost surely, 2^60061478400 is an apocalyptic number.

60061478400 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 60061478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143454389760).

60061478400 is an abundant number, since it is smaller than the sum of its proper divisors (226847301120).

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

60061478400 is a wasteful number, since it uses less digits than its factorization.

60061478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 60061478400 in words is "sixty billion, sixty-one million, four hundred seventy-eight thousand, four hundred".