61626165672960 has 3520 divisors, whose sum is σ = 286339804692480. Its totient is φ = 12344774492160.

The previous prime is 61626165672923. The next prime is 61626165672977. The reversal of 61626165672960 is 6927656162616.

61626165672960 is a `hidden beast` number, since 6 + 1 + 6 + 2 + 6 + 1 + 6 + 567 + 2 + 9 + 60 = 666.

It is a super-2 number, since 2×61626165672960² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 39327482097 + ... + 39327483663.

It is an arithmetic number, because the mean of its divisors is an integer number (81346535424).

Almost surely, 2^{61626165672960} is an apocalyptic number.

61626165672960 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 61626165672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143169902346240).

61626165672960 is an abundant number, since it is smaller than the sum of its proper divisors (224713639019520).

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

61626165672960 is a wasteful number, since it uses less digits than its factorization.

61626165672960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 61626165672960 in words is "sixty-one trillion, six hundred twenty-six billion, one hundred sixty-five million, six hundred seventy-two thousand, nine hundred sixty".