60877542781440 has 4800 divisors, whose sum is σ = 294185410928640. Its totient is φ = 11684672962560.

The previous prime is 60877542781417. The next prime is 60877542781469. The reversal of 60877542781440 is 4418724577806.

60877542781440 is a `hidden beast` number, since 6 + 0 + 8 + 7 + 7 + 542 + 7 + 81 + 4 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 364536184237 + ... + 364536184403.

Almost surely, 2^{60877542781440} is an apocalyptic number.

60877542781440 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 60877542781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147092705464320).

60877542781440 is an abundant number, since it is smaller than the sum of its proper divisors (233307868147200).

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

60877542781440 is a wasteful number, since it uses less digits than its factorization.

60877542781440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 84295680, while the sum is 63.

The spelling of 60877542781440 in words is "sixty trillion, eight hundred seventy-seven billion, five hundred forty-two million, seven hundred eighty-one thousand, four hundred forty".