6120923079600 has 2400 divisors, whose sum is σ = 27815635685376. Its totient is φ = 1256900198400.

The previous prime is 6120923079587. The next prime is 6120923079641. The reversal of 6120923079600 is 69703290216.

It is a happy number.

6120923079600 is a `hidden beast` number, since 6 + 1 + 2 + 0 + 9 + 2 + 30 + 7 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 9920458492 + ... + 9920459108.

Almost surely, 2^{6120923079600} is an apocalyptic number.

6120923079600 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 6120923079600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13907817842688).

6120923079600 is an abundant number, since it is smaller than the sum of its proper divisors (21694712605776).

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

6120923079600 is a wasteful number, since it uses less digits than its factorization.

6120923079600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 6120923079600 in words is "six trillion, one hundred twenty billion, nine hundred twenty-three million, seventy-nine thousand, six hundred".