60920456400 has 600 divisors, whose sum is σ = 227166561600. Its totient is φ = 15624161280.

The previous prime is 60920456309. The next prime is 60920456407. The reversal of 60920456400 is 465402906.

60920456400 is a `hidden beast` number, since 6 + 0 + 9 + 2 + 0 + 4 + 5 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×60920456400² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60920456407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 101703301 + ... + 101703899.

It is an arithmetic number, because the mean of its divisors is an integer number (378610936).

Almost surely, 2^60920456400 is an apocalyptic number.

60920456400 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 60920456400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113583280800).

60920456400 is an abundant number, since it is smaller than the sum of its proper divisors (166246105200).

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

60920456400 is a wasteful number, since it uses less digits than its factorization.

60920456400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 60920456400 in words is "sixty billion, nine hundred twenty million, four hundred fifty-six thousand, four hundred".