62245164960 has 384 divisors, whose sum is σ = 248000901120. Its totient is φ = 14433408000.

The previous prime is 62245164929. The next prime is 62245164967. The reversal of 62245164960 is 6946154226.

62245164960 is a `hidden beast` number, since 622 + 4 + 5 + 16 + 4 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×62245164960² (a number of 22 digits) contains 22 as substring.

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 (62245164967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1064485 + ... + 1121435.

It is an arithmetic number, because the mean of its divisors is an integer number (645835680).

Almost surely, 2^62245164960 is an apocalyptic number.

62245164960 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 62245164960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124000450560).

62245164960 is an abundant number, since it is smaller than the sum of its proper divisors (185755736160).

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

62245164960 is a wasteful number, since it uses less digits than its factorization.

62245164960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57009 (or 56995 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 62245164960 in words is "sixty-two billion, two hundred forty-five million, one hundred sixty-four thousand, nine hundred sixty".