415378552680 has 1152 divisors, whose sum is σ = 1779780038400. Its totient is φ = 86345699328.

The previous prime is 415378552657. The next prime is 415378552763. The reversal of 415378552680 is 86255873514.

415378552680 is a `hidden beast` number, since 4 + 1 + 5 + 3 + 7 + 8 + 552 + 6 + 80 = 666.

It is a super-3 number, since 3×415378552680³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 451989261 + ... + 451990179.

It is an arithmetic number, because the mean of its divisors is an integer number (1544947950).

Almost surely, 2^415378552680 is an apocalyptic number.

415378552680 is a gapful number since it is divisible by the number (40) 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 415378552680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889890019200).

415378552680 is an abundant number, since it is smaller than the sum of its proper divisors (1364401485720).

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

415378552680 is a wasteful number, since it uses less digits than its factorization.

415378552680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 415378552680 in words is "four hundred fifteen billion, three hundred seventy-eight million, five hundred fifty-two thousand, six hundred eighty".