677578151040 has 768 divisors, whose sum is σ = 2556395285760. Its totient is φ = 149502689280.

The previous prime is 677578151039. The next prime is 677578151087. The reversal of 677578151040 is 40151875776.

It is a super-2 number, since 2×677578151040² (a number of 24 digits) contains 22 as substring.

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, 4945825852 + ... + 4945825988.

It is an arithmetic number, because the mean of its divisors is an integer number (3328639695).

Almost surely, 2^677578151040 is an apocalyptic number.

677578151040 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 677578151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278197642880).

677578151040 is an abundant number, since it is smaller than the sum of its proper divisors (1878817134720).

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

677578151040 is a wasteful number, since it uses less digits than its factorization.

677578151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1646400, while the sum is 51.

The spelling of 677578151040 in words is "six hundred seventy-seven billion, five hundred seventy-eight million, one hundred fifty-one thousand, forty".