61268973120 has 168 divisors, whose sum is σ = 215641098816. Its totient is φ = 15958397952.

The previous prime is 61268973109. The next prime is 61268973121. The reversal of 61268973120 is 2137986216.

61268973120 is a `hidden beast` number, since 612 + 6 + 8 + 9 + 7 + 3 + 1 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (61268973121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123532 + ... + 371211.

Almost surely, 2^61268973120 is an apocalyptic number.

61268973120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61268973120 is an abundant number, since it is smaller than the sum of its proper divisors (154372125696).

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

61268973120 is a wasteful number, since it uses less digits than its factorization.

61268973120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494809 (or 494796 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 61268973120 in words is "sixty-one billion, two hundred sixty-eight million, nine hundred seventy-three thousand, one hundred twenty".