60802967040 has 640 divisors, whose sum is σ = 219483095040. Its totient is φ = 14269022208.

The previous prime is 60802967033. The next prime is 60802967047. The reversal of 60802967040 is 4076920806.

It is an interprime number because it is at equal distance from previous prime (60802967033) and next prime (60802967047).

It is a tau number, because it is divible by the number of its divisors (640).

It is a junction number, because it is equal to n+sod(n) for n = 60802966983 and 60802967001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60802967047) 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, 315041184 + ... + 315041376.

It is an arithmetic number, because the mean of its divisors is an integer number (342942336).

Almost surely, 2^60802967040 is an apocalyptic number.

60802967040 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 60802967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109741547520).

60802967040 is an abundant number, since it is smaller than the sum of its proper divisors (158680128000).

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

60802967040 is a wasteful number, since it uses less digits than its factorization.

60802967040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 60802967040 in words is "sixty billion, eight hundred two million, nine hundred sixty-seven thousand, forty".