61455672000 has 672 divisors, whose sum is σ = 230972099904. Its totient is φ = 16174080000.

The previous prime is 61455671971. The next prime is 61455672049. The reversal of 61455672000 is 27655416.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 196343844 + ... + 196344156.

It is an arithmetic number, because the mean of its divisors is an integer number (343708482).

Almost surely, 2^61455672000 is an apocalyptic number.

61455672000 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 61455672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115486049952).

61455672000 is an abundant number, since it is smaller than the sum of its proper divisors (169516427904).

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

61455672000 is a wasteful number, since it uses less digits than its factorization.

61455672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 61455672000 in words is "sixty-one billion, four hundred fifty-five million, six hundred seventy-two thousand".